The word photon is one of the most confusing and misused wordwords in physics. MuchProbably much more than other words in physics, it is being used with several different meanings and one can only try to find which one is meant based on the source and context of the message.
The photon that spectroscopy experimenter uses to explain how spectra are connected to the atoms and molecules is a different conceptis a different concept from the photon quantum optics experimenters talk about when explaining their experiments, and that is. Those are different from the photon that the high energy experimenters talk about and that is different fromthere are still other photons the photon high energy theorists talk about. There are probably even more variants in use (not countingand countless personal modifications) in use.
> ... one might have been tempted to adopt the hypothesis that we are dealing here with a new type of atom, an identifiable entity, uncreatable and indestructible, which acts as the carrier of radiant energy and, after absorption, persists as an essential constituent of the absorbing atom until it is later sent out again bearing a new amount of energy...
> ... one might have been tempted to adopt the hypothesis that we are dealing here with a new type of atom, an identifiable entity, uncreatable and indestructible, which acts as the carrier of radiant energy and, after absorption, persists as an essential constituent of the absorbing atom until it is later sent out again bearing a new amount of energy...
> I therefore take the liberty of proposing for this hypothetical new atom, which is not light but plays an essential part in every process of radiation, the name photon.
> I therefore take the liberty of proposing for this hypothetical new atom, which is not light but plays an essential part in every process of radiation, the name photon.
The photon the experimenter in visible-UV spectroscopy experimenter usually talks about is an object that has definite frequency $\nu$ and definite energy $h\nu$,; its size and position are unknown, perhaps undefined; yet it can be absorbed and emitted by a molecule.
The photon the experimenter in quantum optics experimenter(detection correlation studies) usually talks about is a purposely mysterious "quantum object" that is more complicated: it has no definite frequency, has somewhat defined position and size, but can span whole experimental apparatus and only looks like a localized particle when it gets detected in a light detector.
The photon the high energy experimenter talks about is a small particle that is not possible to see in photos of the particle tracks and their scattering events, but serves wellmakes it easy to explain the curvature of tracks of matter particles with common point of origin within the framework of energy and momentum conservation (e. g. appearance of pair of oppositely charged particles, or the Compton scattering). This photon has usually definite momentum and energy (hence also definite frequency), and fairly definite position, since it participates in thefairly localized scattering events.
Theorists use the word photon with several meanings as well. The common denominator is the mathematics used to describe electromagnetic field and its interaction with matter. Certain special quantum states of EM field - so-called Fock states - behave mathematically in a way that allows one to use the language of "photons as countable things with definite energy" and count how many of them. More precisely, there are instates of the EM field that can be specified by stating an infinite set of non-negative whole numbers. When one of these numbers change by one, this is described by a certainfigure of speech as "creation of photon" or "destruction of photon". This way of describing state to giveallows one information onto easily calculate the total energy of the system and its frequency distribution of. However, this energykind of photon cannot be localized except to the whole system.
In the general case, the state of the EM field is not of such a special kind, and the number of photons itself is not definite. This means the primary object of the mathematical theory of EM field is not a set of point particles with definite number of members, but thea continuous EM field and photons. Photons are merely some kinda figure of emergent phenomenon,speech useful when the field is of a special kind.
Itit is quite entrenched in the curriculum and textbooks for historical and inertia reasons;
Experimentersexperimenters use it to describe their experiments;
partially because it makes a good impression on people reading popular accounts of physics; it is hard to talk interestingly about $\psi$ function or the Fock space, but it is easy to talk about "particles of light";
Partiallypartially because of how the Feynman diagram method is taught.
Note on the necessity of the concept of photon
Many famous experiments once regarded as evidence for photons were later explained qualitatively or semi-quantitatively based solely based on the theory of waves (classical EM theory of light, sometimes with Schroedinger's equation added). These are for example the photoelectric effect, Compton scattering, black-body radiation and perhaps others.
**Note on the necessity of the concept of photon** There always was a minority group of physicists who avoided the concept of photon altogether for this kind of phenomena and preferred the idea that the possibilities of EM theory are not exhausted. Check out these papers for non-photon approaches to physics:
Many famous experiments once regarded as evidence for photons were later explained qualitatively or semi-quantitatively based solely based on the theory of waves (classical EM theory of light, sometimes with Schroedinger's equation added). These are for example the [photoelectric effect][2], [Compton scattering][3], [black-body radiation][4] and perhaps others. R. Kidd, J. Ardini, A. Anton, Evolution of the modern photon, Am. J. Phys. 57, 27 (1989)
http://www.optica.machorro.net/Lecturas/ModernPhoton_AJP000027.pdf
There always was a minority group of physicists who avoided the concept of photon altogether for this kind of phenomena and preferred the idea that the possibilities of EM theory are not exhausted. Check out these papers for non-photon approaches to physics: C. V. Raman, A classical derivation of the Compton
effect. Indian Journal of Physics, 3, 357-369. (1928)
http://dspace.rri.res.in/jspui/bitstream/2289/2125/1/1928%20IJP%20V3%20p357-369.pdf
R. Kidd, J. Ardini, A. Anton, Evolution of the modern photon, Am. J. Phys. 57, 27 (1989)
http://www.optica.machorro.net/Lecturas/ModernPhoton_AJP000027.pdf
Trevor W. Marshall, Emilio Santos: The myth of the photon, Arxiv (1997)
http://arxiv.org/abs/quant-ph/9711046v1
C. V. Raman, A classical derivation of the Compton
effect. Indian Journal of Physics, 3, 357-369. (1928)
http://dspace.rri.res.in/jspui/bitstream/2289/2125/1/1928%20IJP%20V3%20p357-369.pdf
Timothy H. Boyer, Derivation of the Blackbody Radiation Spectrum without Quantum Assumptions, Phys. Rev. 182, 1374 (1969)
Trevor W. Marshall, Emilio Santos: The myth of the photon, Arxiv (1997)
http://arxiv.org/abs/quant-ph/9711046v1
http://dx.doi.org/10.1103/PhysRev.182.1374
Timothy H. Boyer, Derivation of the Blackbody Radiation Spectrum without Quantum Assumptions, Phys. Rev. 182, 1374 (1969)
http://dx.doi.org/10.1103/PhysRev.182.1374