In the electromagnetic picture, different frequencies of light waves produce different strengths of diffraction/refraction.(adsbygoogle = window.adsbygoogle || []).push({});

In the quantum picture, a photon's energy corresponds to its frequency by the Planck constant [itex]E = hf[/itex].

The solution of Schrodinger's equation for a free particle (which we can model a photon with) gives a continuous spectrum of non-normalizable waves, to get a physical wave function a normalizable superposition is formed. These have both 'group' velocity [itex]c[/itex] and 'phase' velocity [itex]v[/itex].

Refractive index is related to phase velocity by [itex]n = c/v[/itex].

By the above, I think that (A)the wave function for a photon has wavelength [itex]\lambda = 1/f[/itex]as opposed to the alternative (B)the frequency of a photon is an intrinsic quantity much like spin.

Is (A) correct, and if so how is this known? But maybe I am wrong, if (B) or some alternative is true please tell me where my reasoning is wrong and how correct the correct model of a photon is known. Thanks very much.

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# Frequency of light photons

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