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Interaction of two wavefunctions 
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#1
Aug1213, 09:29 PM

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Hi,
I've been thinking about the following scheme: let's say I have an incoming photon ray with wavefunction ψ_{1} that finds a bloch electron with wavefunction ψ_{2}. Is there any way to compute the optical coefficients (transmitivity, reflectivity etc) of the material knowing only this two ψ and the corresponding electronic DOS due to the bloch electrons? Thanks 


#2
Aug1313, 12:58 AM

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Yes  you are scattering a photon off an electron in a solid.



#3
Aug1313, 11:34 PM

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The wavefunction contains complete knowledge of the system, so I think yes it should be possible to compute all materials properties in principle.
But is it meaningful to talk of a photon wavefunction? The Schrodinger equation does not apply to them. More advanced formalism is needed (fields and field operators). 


#4
Aug1413, 01:28 AM

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Interaction of two wavefunctions
Pretty much  you will see treatments that talk about a planewave state for incoming photons etc. for the scattering regime ... i.e. we can certainly write down a schrodinger equation for a system composed of matter and photons in Columb gauge.
But a proper QM treatment for the interaction of photons and Bloch electrons will involve field theory or, at least, QED. 


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