I Can’t Sleep - Photons | Calm Bedtime Reading for Sleep

Episode Date: July 24, 2023

Drift into rest with this calm bedtime reading as Benjamin explores photons, the particles of light, helping you relax and ease insomnia. You’ll learn about their discovery, their role in physics, and how they shape our understanding of energy and the universe. With Benjamin’s soothing cadence, even the mysteries of quantum theory become gentle storytelling that reduces stress and quiets the mind. This isn’t whispering or hypnosis—just peaceful, fact-filled narration designed to guide you into sleep. Press play, let your thoughts soften, and drift off with the calming story of photons. Want More? Request a Topic: https://www.icantsleeppodcast.com/request-a-topic Ad-Free Episodes: https://icantsleep.supportingcast.fm/ Shop Sleep-Friendly Products: https://www.icantsleeppodcast.com/sponsors Join the Discussion on Discord: https://discord.gg/myhGhVUhn7 This content is derived from the Wikipedia article on Photons, available under the Creative Commons Attribution-ShareAlike (CC BY-SA) license. Read the full article: Wikipedia – Photons. Happy sleeping! Learn more about your ad choices. Visit megaphone.fm/adchoices

You're listening to a Glassbox media podcast. What if I told you that most of the modern day self-help advice you've been hearing could actually make you worse? The key to a better life isn't about feel-good gimmicks that sound catchy. The Mentally Stronger Podcast gives you access to a licensed therapist who shares science-backed tools that will actually change your life. Hi, I'm Amy Morin, psychotherapist, mental strength trainer, and international best-selling author. In each episode, we cover research-back strategies, like how to stop relying on willpower and start creating habits for lasting change. And the five mental strength-building exercises you can do from your couch.

I also speak to world-class experts like Dr. Nicole Kane, who shares how to permanently heal anxiety by addressing the root cause. With over 200 episodes in our catalog, this podcast is for you if you're ready to crush self-doubt, conquer challenges, and become stronger than ever with therapist-approved strategies that can change your life. Listen to Mentally Stronger with Therapist Amy Morin, wherever you get your podcasts. Welcome to the I Can't Sleep Podcast, where I read random articles from across the web to bore you to sleep with my soothing voice. I'm your host, Benjamin Boster. Today's episode is from a Wikipedia article titled,

Photon. A photon, from ancient Greek, Phos, Photos, light, is an elementary particle that is a quantum of the electromagnetic field, including electromagnetic radiation, such as light and radio waves, and the force carrier for the electromagnetic force. Photons are massless,

so they always move at the speed of light in a vacuum, about 186,202 miles per second. The photon belongs to the class of boson particles. As was other elementary particles, photons are best explained by quantum mechanics and exhibit wave particle duality. Their behavior featuring properties of both waves and particles. The modern photon concept originated during the first two decades of the 20th century,

with the work of Albert Einstein who built upon the research of Max Planck. While trying to explain how matter and electromagnetic radiation could be in thermal equilibrium with one another, Plank proposed that the energy stored within a material object should be regarded as composed of an integer number of discrete equal-sized parts. To explain the photoelectric effect, Einstein introduced the idea that light itself is made of discrete units of energy. In 1926, Gilbert and Lewis popularized the term photon for these energy units. Subsequently, many other experiments validated Einstein's approach. In the standard model of particle physics, photons and other elementary particles are described,

as a necessary consequence of physical laws, having a certain symmetry at every point in space-time. The intrinsic properties of particles, such as charge, mass, and spin, are determined by gauge symmetry. The photon concept has led to momentous advances in experimental and theoretical physics, including lasers,

Bose-Einstein condensation, quantum field theory, and the probabilistic interpretation of quantum mechanics. It has been applied to photochemistry, high-resolution microscopy, and measurements of molecular distances. Moreover, photons have been studied as elements of quantum computers, and for applications in optical imaging and optical communication

such as quantum cryptography. The word quanta, singular quantum, from Latin for how much, was used before 1900 to mean particles or amounts of different quantities, including electricity. In 1900, the German physicist Max Planck was studying black body radiation, and he suggested that the experimental observations specifically at shorter wavelengths would be explained if the energy stored within a molecule was a discrete quantity, composed of an integral number of finite equal parts, which he called energy elements.

In 1905, Albert Einstein published a paper in which he proposed that many light-related phenomena, including black-body radiation and the photoelectric effect, would be better explained by modeling electromagnetic waves as consisting of spatially localized discrete wave packets. He called such a wave packet a light quantum. The name Photon derives from the Greek word for light, transliterated Phos. Arthur Compton used photon in 1928, referring to G.N. Lewis, who coined the term in a letter to Nature on the 18th of December, 1926.

The same name was used earlier, but was never widely adopted before Lewis. in 1916 by the American physicist and psychologist Leonard T. Trelland. In 1921 by the Irish physicist Jolly. In 1924 by the French physiologist René Wormser. And in 1926 by the French physicist Frithiof Wolfer's. The name was suggested initially as a unit related to the illumination of the eye and the resulting sensation of light, and was used later in a physiological context.

Although Wolfer's and Lewis's theories were contradicted by many experiments and never accepted, the new name was adopted by most physicists very soon after Compton used it. In physics, a photon is usually denoted by the symbol for the Greek letter gamma. This symbol for the photon probably derives from gamma rays, which were discovered in 1900 by Paul Willard, named by Ernest Rutherford in 1903. and shown to be a form of electromagnetic radiation in 1914 by Rutherford and Edward Andranda. In chemistry and optical engineering,

photons are usually symbolized by H-new, which is the photon energy, where H is the plonk constant, and the Greek layer new is the photon's frequency. A photon is massless, has no electric charge, and is a stable particle. In a vacuum, a photon has three possible polarization states. The photon is the gauge boson for electromagnetism,

and therefore all other quantum numbers of the photon, such as leptin number, barian number, and flavor quantum numbers are zero. Also, the photon obeys Bose-Einstein statistics, and not Fermi-Dirac statistics. That is, they do not obey the poly-exclusion principle. and more than one can occupy the same bound quantum state. Photons are emitted in many natural processes.

For example, when a charge is accelerated, it emits synchrotron radiation. During a molecular, atomic, or nuclear transition to a lower energy level, photons of various energy will be emitted, ranging from radio waves to gamma rays. Photons can also be emitted when a particle, and its corresponding antiparticle are annihilated. For example, electron positron annihilation. The photon also carries two other quantities called spin-angular momentum, which is related to linear or circular photon polarization,

and orbital angular momentum. The spin-angular momentum of light does not depend on its frequency and was experimentally verified by C.V. Raman and S. Bagavantam in 1931. Because photons always move at the speed of light, the spin is best expressed in terms of the component measured along its direction of motion, its helicity. These two possible helicities, called right-handed and left-handed, correspond to the two possible circular polarization states of the photon. To illustrate the significance of these formulae, the annihilation of a particle with its antiparticle in free space must result in the creation of at least two photons for the following reason. In the center of momentum frame, the colliding antiparticles have no net momentum, whereas a single photon always has momentum, since we have seen it is determined by the photon's frequency or wavelength, which can't be a single photon always has momentum, which can't be a single photon always has momentum, since we have seen, it is determined by the photon's frequency or wavelength, which cannot be zero. Hence, conservation of momentum or equivalently translational invariance

requires that at least two photons are created with zero net momentum. The energy of the two photons, or equivalently, their frequency, may be determined from the conservation of four momentum. seen another way the photon can be considered as its own antiparticle this an antifotone is simply a normal photon with opposite momentum equal polarization and 180 degree out of phase the reverse process pair production is the dominant mechanism by which high energy photons such as gamma rays lose energy while passing through matter That process is the reverse of annihilation to one photon, allowed in the electric field of an atom nucleus.

The classical formulae for energy and momentum of electromagnetic radiation can be expressed in terms of photon events. For example, the pressure of electromagnetic radiation on an object derives from the transfer of photon momentum per unit time and unit area to that object. since pressure is forced per unit area and forces the change in momentum per unit time. Each photon carries two distinct and independent forms of angular momentum, spin and orbital angular momentum. Current commonly accepted physical theories imply or assume the photon to be strictly massless. If the photon is not a strictly massless particle, it would not move at the exact speed of light in vacuum.

its speed would be lower and depend on its frequency. Relativity would be unaffected by this. The so-called speed of light would then not be the actual speed at which light moves, but a constant of nature which is the upper bound on speed that any object could theoretically attain in space-time. Thus it would still be the speed of spacetime ripples, gravitational waves and gravitons, but it would not be the speed of photons. If a photon did have non-zero mass, there would be other effects as well. Kulam's law would be modified and the electromagnetic field would have an extra physical degree of freedom.

These effects yield more sensitive experimental probes of the photon mass than the frequency dependence on the speed of light. If Kulam's law is not exactly valid, then that would allow the presence of an electric field to exist within a hollow conductor when it is subjected to an external electric field. This provides a means for very high precision tests of the Coulin's Law. Sharper upper limits on the mass of light have been obtained in experiments designed to detect effects caused by the galactic vector potential.

Although the galactic vector potential is very large because of the galactic vector potentials, magnetic field exists on every great length scales, only the magnetic field would be the observable if the photon is massless. These sharp limits from the non-observation of the effects caused by the galactic vector potential have been shown to be model-dependent. In most theories up to the 18th century, light was pictured as being made up of particles. Since particle models cannot easily account for the refraction, diffraction, and birefringens of light. Wave theories of light were proposed by René Descartes, Robert Hook, and Christiane Huggins. However, particle models remain dominant, chiefly due to the influence of Isaac Newton.

In the early 19th century, Thomas Young and August Fresnel clearly demonstrated the interference and diffraction of light, and by 1850, wave models were generally accepted. James Clerk Maxwell's 1865 prediction that light was an electromagnetic wave, which was confirmed experimentally in 1888 by Heinrich Hertz detection of radio waves, seemed to be the final blow to particle models of light. The Maxwell wave theory, however, does not account for all properties of light. The Maxwell theory predicts that the energy of light wave depends only on its intensity. not on its frequency. Nevertheless, several independent types of experiments show that the energy

imparted by light to atoms depends only on the light's frequency, not on its intensity. For example, some chemical reactions are provoked only by light of frequency higher than a certain threshold. Light of frequency lower than the threshold, no matter how intense, does not initiate the reaction. Similarly, electrons can be ejected from a metal plate by shining in light of sufficiently high frequency on it, the photoelectric effect. The energy of the ejected electron is related only to the light's frequency, not to its intensity. At the same time, investigations of black body radiation, carried out over four decades by various researchers, culminated in Max Planck's hypothesis that the energy of any system that absorbs or emits electromagnetic radiation of frequency new is an integer multiple of any energy quantum E equals H new.

As shown by Albert Einstein, some form of energy quantization must be assumed to account for the thermal equilibrium observed between matter and electromagnetic radiation. For this explanation of the photoelectric effect, Einstein received the 1921 Nobel Prize in physics. Since the Maxwell's theory of light allows for all possible energies of electromagnetic radiation, most physicists assumed initially that the energy quantization resulted from some unknown constraint on the matter, that absorbs or emits the radiation. In 1905, Einstein was the first to propose that energy quantization was a property of electromagnetic radiation itself. Although he accepted the validity of Maxwell's theory, Einstein pointed out that many anomalous experiments could be explained

if the energy of a Maxwellian light wave were localized into point-like quanta, that move independently of one another, even if the wave itself has spread continuously over space. In 1909 and 1916, Einstein showed that if Planck's law regarding black body radiation is accepted, the energy quantum must also carry momentum, making them full-fledged particles. This photon momentum was observed experimentally by Arthur Compton. for which he received the Nobel Prize in 1927. The pivotal question then was how to unify Maxwell's wave theory of light

with its experimentally observed particle nature. The answer to this question occupied Albert Einstein for the rest of his life and was solved in quantum electrodynamics and its successor, the standard model. Einstein's 1905 predictions were verified experimentally in several ways in the first two decades of the 20th century,

as recounted in Robert Milliken's Nobel lecture. However, before Compton's experiment showed that photons carried momentum proportional to their wave number, most physicists were reluctant to believe that electromagnetic radiation itself might be particulate. Instead, there was a widespread belief

that energy quantization resulted from some unknown constraint on the matter that absorbed or emitted radiation. Attitudes changed over time. In part, the change can be traced to experiments, such as those revealing Compton scattering, where it was much more difficult not to ascribe quantization to light itself to explain the observed results.

Even after Compton's experiment, Niels Bohr, Hendrick Kramer's, and John Slater made one last attempt to preserve the Maxwellian continuous electromagnetic field model of light, the so-called BKS theory. An important feature of the BKS theory is how it treated the conservation of energy and the conservation of momentum. In the BKS theory, energy and momentum are only conserved on the average across many interactions between matter and radiation. However, refined Compton experiments showed that the conservation laws hold for individual interactions. Accordingly, Bohr and his co-workers gave their model as honorable a funeral as possible.

Nevertheless, the failures of the BKS model inspired Werner Heisenberg in his development of matrix mechanics. A few physicists persisted in developing semi-classical models in which electromagnetic radiation is not quantized, but matter appears to obey the laws of quantum mechanics. Although the evidence from chemical and physical experiments for the existence of photons was overwhelming by the 1970s, this evidence could not be considered as absolutely definitive

since it relied on the interaction of light with matter and a sufficiently complete theory of matter could in principle account for the evidence. Nevertheless, all semi-classicals, theories were refuted definitively in the 1970s and 1980s by photon correlation experiments. Hence Einstein's hypothesis that quantization is a property of light itself is considered to be proven. Photons obey the laws of quantum mechanics, and so their behavior has both wave-like and particle-like aspects. When a photon is detected by a measuring instrument, it is registered as a single

particulate unit. However, the probability of detecting a photon is calculated by equations that describe waves. This combination of aspects is known as wave particle duality. For example, the probability distribution for the location at which a photon might be detected displays clearly wave-like phenomena such as diffraction and interference. A single photon passing through a single photon passing through a a double slit has its energy received at a point on the screen with the probability distribution given by its interference pattern determined by Maxwell's wave equations. However, experiments confirm that the photon is not a short pulse of electromagnetic radiation. A photon's Maxwell waves will diffract, but photon energy does not spread out as it propagates, nor does this energy

divide when it encounters a beam splitter. Rather, the received photon acts like a point-like particle, since it is absorbed or emitted as a whole by arbitrarily small systems, including systems much smaller than its wavelength, such as an atomic nucleus or even the point-like electron. While many introductory texts treat photons using the mathematical techniques of non-relativistic quantum mechanics, This is in some ways an awkward oversimplification, as photons are by nature intrinsically relativistic.

Because photons have zero-rest mass, no wave function defined for a photon can have all the properties familiar from wave functions in non-relativistic quantum mechanics. In order to avoid these difficulties, physicists employ the second quantized theory of photons, quantum electrodynamics, quantum electrodynamics, in which photons are quantized excitations of electromagnetic modes. Another difficulty is finding the proper analog for the uncertainty principle, an idea frequently attributed to Heisenberg, who introduced the concept in analyzing a thought experiment involving an electron and a high-energy photon. However, Heisenberg did not give precise mathematical definitions of what the uncertainty in these measurements meant.

The precise mathematical statement of the position momentum uncertainty principle is due to Kennard, Polly, and Whale. The uncertainty principle applies to situations where an experimenter has a choice of measuring either one of two canonical conjugate quantities, like the position and the momentum of a particle. According to the uncertainty principle, no matter how the particle is prepared,

it is not possible to make a precise prediction for both of the two alternative measurements. If the outcome of the position measurement is made more certain, the outcome of the momentum measurement becomes less so and vice versa. A coherent state minimizes the overall uncertainty as far as quantum mechanics allows. Quantum optics makes use of coherent states from modes of the electromagnetic field.

There is a trade-off, reminiscent of the position momentum uncertainty relation, between measurements of an electromagnetic wave's amplitude and its phase. This is sometimes informally expressed in terms of the uncertainty in the number of photons present in the electromagnetic wave, and the uncertainty in the phase of the wave. However, this cannot be an uncertainty relation of the Kennard-Poly whale type, since unlike position and momentum, the phase cannot be represented by a Hermission operator. In 1924, Satyendra Nath-Bose derived Planck's law of black body radiation,

without using any electromagnetism, but rather by using a modification of coarse-grained counting of phase space. Einstein showed that this modification is equivalent to assuming that photons are rigorously identical and that it implied a mysterious non-local interaction, now understood as the requirement for a systematic quantum mechanical state. This work led to the concept of coherent states and the development of the laser. In the same papers, Einstein extended Bose's formalism to material particles, bosons, and predicted that they would condense into their lowest quantum state at low enough

temperatures. This Bose-Einstein condensation was observed experimentally in 1995. It was later used by Len Howe to slow and then completely stop light in 1999 and 2001. The modern view on this is that photons are by virtue of their integer spin bosons, as opposed to to fermions with half-integer spin. By the spin statistics theorem, all bosons obey Bose-Einstein statistics, whereas all fermions obey Fermidirac statistics. In 1916, Albert Einstein showed that Planck's radiation law could be derived from a semi-classical statistical treatment of photons and atoms, which implies a link between the rates at which atoms emit and absorb protons. The Condition follows from the assumption that functions of the emission and absorption of radiation by the atoms

are independent of each other, and that thermal equilibrium is made by way of the radiation's interaction with the atoms. Consider a cavity in thermal equilibrium with all parts of itself and filled with electromagnetic radiation, and that the atoms can emit and absorb that radiation. thermal equilibrium requires that energy density of photons with frequency, which is proportional to their number density, is on average constant in time. Hence, the rate at which photons of any particular frequency are emitted must equal the rate at which they are absorbed.

Einstein began by postulating simple proportionality relations for the different reaction rates involved. Einstein was troubled by the fact that his, his theory seemed incomplete, since it did not determine the direction of a spontaneously emitted photon. A probabilistic nature of light particle motion was first considered by Newton in his treatment of birefringents, and more generally of the splitting of light beams at interferences, into a transmitted beam and a reflected beam. Newton hypothesized that hidden variables in the light particle determined which of the two paths,

paths a single photon would take. Similarly, Einstein hoped for a more complete theory that would leave nothing to chance, beginning his separation from quantum mechanics. Ironically, Max Bourne's probabilistic interpretation of the wave function was inspired by Einstein's later work searching for a more complete theory. In 1910, Peter Debbie derived Planck's law of black body radiation from a relatively simple assumption. He decomposed the electromagnetic field in a cavity into its four-year modes and assumed that the energy in any mode was an integer multiple of H-New, where new is the frequency of the electromagnetic mode. Plong's law of black-body radiation follows immediately as a geometric sum. However, Debby's approach failed to give the correct formula for

the energy fluctuations of black body radiation, which were derived by Einstein in 1909. In 1925, Born Heisenberg and Jordan reinterpreted Debbie's concept in a key way. As may be shown classically, the four-year modes of the electromagnetic field, a complete set of electromagnetic plane waves indexed by their wave vector K and polarization state, are equivalent to a set of uncoupled simple harmonic oscillators. Treated quantum mechanically, the energy levels of such oscillators are known to be E equals NH NU, where new is the oscillator frequency.

The key new step was to identify an electromagnetic mode with energy E equals NH new as a state with N photons, each of energy H. new. This approach gives the correct energy fluctuation formula. Dirac took this one step further. He treated the interaction between a charge and an electromagnetic field as a small perturbation that includes transitions in the photon states, changing the numbers of photons in the modes, while conserving energy and momentum overall.

Dierke was able to derive Einstein's A-I-J and B-I-J coefficients from first principles and showed that the Bose-Einstein statistics of photons is a natural consequence of quantizing the electromagnetic field correctly. Bose's reasoning went in the opposite direction. He derived Planck's law of black body radiation by assuming B-E statistics. In Dierick's time, it was not yet known that, all bosons, including photons, must obey Bose-Einstein statistics. Derek's second-order perturbation theory can involve virtual photons,

transient intermediate states of the electromagnetic field. The state electric and magnetic interactions are mediated by such virtual photons. In such quantum field theories, the probability amplitude of observable events is calculated by summing over all all possible intermediate steps, even ones that are unphysical. Hence, virtual photons are not constrained to satisfy E equals PC and may have extra polarization states. Depending on the gauge used, virtual photons may have three or four polarization states instead of the two states of real photons. Although these transient virtual photons can never be observed, they contribute measurably to the

probabilities of observable events. Indeed, such second-order and higher-order perturbation calculations can give apparently infinite contributions to the sum. Such unphysical results are corrected for using the technique of renormalization. Other virtual particles may contribute to the summation as well. For example, two photons may interact indirectly through virtual electron positron pairs. Such photon-photon-scattering, as well as electron-photon scattering, is meant to be one of the modes of operations of the planned particle accelerator,

the International Linear Collider. An electromagnetic field can be understood as a gauge field, i.e. as a field that results from acquiring that a gauge symmetry holds independently at every position in space-time. For the electromagnetic field, this gauge symmetry is the Abilene U-U1's, symmetry of complex numbers of absolute value 1, which reflects the ability to vary the phase of a complex field without affecting the observables or real valued functions made from it, such as the energy or the Lagrangian.

The quanta of an abelian gauge field must be massless, uncharged bosons, as long as the symmetry is not broken. Hence, the photon is predicted to be massless, and to have zero electric charge and integer spin. The particular form of the electromagnetic interaction specifies that the photon must have spin plus or minus one. These two spin components correspond to the classical concepts of right-handed and left-handed circularly polarized light. However, the transient virtual photons of quantum electrodynamics may also adopt unphysical polarization

states. In the prevailing standard model of physics, the photon is one of four gauge bosons in the electro-week interaction. The other three are denoted W-plus, W-minus, and Z-0, and are responsible for the weak interaction. Unlike the photon, these gauge bosons have mass, owing to a mechanism that breaks their SU-2-2-gauge symmetry. The unification of the photon with W and Z gauge bosons in the Electro-Weak interaction was accomplished by Sheldon Glashow, Abdis Salam, and Stephen Weinberg, for which they were awarded the 1979 Nobel Prize in Physics. Physicists continue to hypothesize Cran unified theories

that connect these four gauge bosons with the eight gluon cage bosons of quantum chromodynamics. However, key predictions of these theories, such as proton decay, have not been observed experimentally. Measurements of the interaction between energetic photons and hadrons show that the interaction is much more intense than expected by the interaction of merely photons with the hadrons' electric charge. Furthermore, the interaction of energetic photons with protons is similar to the interaction of photons of photons. with neutrons, in spite of the fact that the electric charge structures of protons and neutrons are substantially different. A theory called vector meson dominance, VMD, was developed to explain this effect. According to VMD, the photon is a superposition of the pure electromagnetic photon, which interacts only with electric charges and vector mesons. However, if experimentally

probed at very short distances, the intrinsic structure of the photon is recognized as a flux of quark and gluon components, quasi-free according to asymptotic freedom in QCD, and described by the photon structure function. A comprehensive comparison of data with theoretical predictions was presented in a review in 2000. The energy of a system that emits a photon is decreased. by the energy E of the photon, as measured in the rest frame of the emitting system, which may result in a reduction in mass in the amount E divided by C2. Similarly, the mass of a system that absorbs a photon is increased by a corresponding amount. As an application, the energy balance of nuclear reactions involving photons

is commonly written in terms of the masses of the nuclei involved. in terms of the form E divided by C2 for the gamma photons and for other relevant energies, such as the recoil energy of nuclei. This concept is applied in key predictions of quantum electrodynamics QED. In that theory, the mass of electrons, or more generally, leptons, is modified by including the mass contributions of virtual photons in a technique known as renormalization.

Such radiative corrections contribute to a number of predictions of QED, such as the magnetic dipole moment of leptons, the lamb shift, and the hyperfine structure of bound leptin pairs, such as muonium and positronium. Since photons contribute to the stress energy tensor, they exert a gravitational attraction on other objects. according to the theory of general relativity.

Conversely, photons are themselves affected by gravity. Their normally straight trajectories may be bent by warped spacetime, as in gravitational lensing, and their frequencies may be lowered by moving to a higher gravitational potential, as in the Pound-Rebka experiment. However, these effects are not specific to photons. Exactly the same effects would be predicted for close, classical electromagnetic waves.

Light that travels through transparent matter does so at a lower speed than see the speed of light and vacuum. The factor by which the speed is decreased is called the refractive index of the material. In a classical wave picture, the slowing can be explained by the light-inducing electronic polarization in the matter, the polarized matter radiating new light, and that new light interfering with the original light wave to form a delayed wave. In a particle picture, the slowing can instead be described as a blending of the photon with quantum exitations of the matter, to produce quasi-particles known as Polaraton.

This Polarotan has a non-zero-effective mass, which means that it cannot travel at the speed of light. light of different frequencies may travel through matter at different speeds. This is called dispersion, not to be confused with scattering. In some cases, it can result in extremely low speeds of light and matter. The effects of photon interactions with other quasi-particles may be observed directly in Raman scattering and brilion scattering. Photons can be scattered by matter. For example, photons engage in so many collisions,

on the way from the core of the Sun, that radiant energy can take about a million years to reach the surface. However, once in open space, a photon takes only 8.3 minutes to reach Earth. Photons can also be absorbed by nuclei, atoms, or molecules, provoking transitions between their energy levels. A classic example is the molecular transition of retinol, which is responsible for vision. responsible for vision, as discovered in 1958 by Nobel laureate biochemist George Wald and co-workers. The absorption provokes a cis-transisomerization that, in combination with other such transitions, is transduced into nerve impulses. The absorption of photons can even break

chemical bonds, as in the photo-disassociation of chlorine. This is the subject of photochemistry. Photons have many applications and technology. These examples are chosen to illustrate applications of photons per se, rather than general optical devices such as lenses, etc. That could operate under a classical theory of light. The laser is an extremely important application. Individual photons can be detected by several methods. The classic photomultiplyer tube exploits the photoelectric effect.

A photon of sufficient energy strikes a metal plate and knocks free an electron, initiating an ever-amplifying avalanche of electrons. Semiconductor charge coupled device chips uses similar effect. An incident photon generates a charge on a microscopic capacitor that can be detected. Other detectors such as Geiger counters use the ability of photons to ionize gas molecules, contained in the device, causing a detectable change of conductivity of the gas. Planck's energy formula E equals H-new is often used by engineers and chemists in design, both to compute the change in energy resulting from a photon absorption,

and to determine the frequency of the light emitted from a given photon emission. For example, the emission spectrum of a gas discharge lamp can be altered by filling with mixtures of gases with different electronic energy level configurations. Under some conditions, an energy transition can be excited by two photons that individually would be insufficient. This allows for higher resolution microscopy, because the sample absorbs energy only in the spectrum where two beams of different colors overlap significantly, which can be made much smaller by the exitation volume of a single beam. Moreover, these photons cause less damage to the sample, since they are of lower energy.