Discussion Overview
The discussion revolves around the interaction of two wavefunctions, specifically a photon wavefunction and a Bloch electron wavefunction, and whether it is possible to compute optical coefficients such as transmitivity and reflectivity using these wavefunctions and the corresponding electronic density of states (DOS).
Discussion Character
- Exploratory
- Technical explanation
- Debate/contested
Main Points Raised
- One participant suggests that it may be possible to compute optical coefficients from the wavefunctions and the electronic DOS.
- Another participant confirms that the scenario involves scattering a photon off an electron in a solid.
- A participant raises a question about the meaningfulness of a photon wavefunction, noting that the Schrödinger equation does not apply to photons and that a more advanced formalism is required.
- It is mentioned that treatments exist that discuss plane-wave states for incoming photons in the scattering regime, indicating that a Schrödinger equation can be formulated for systems involving matter and photons.
- However, a proper quantum mechanical treatment of the interaction between photons and Bloch electrons is said to necessitate field theory or quantum electrodynamics (QED).
Areas of Agreement / Disagreement
Participants express differing views on the applicability of the Schrödinger equation to photons and the feasibility of computing optical properties from the wavefunctions. The discussion remains unresolved regarding the appropriate theoretical framework for this interaction.
Contextual Notes
There are limitations regarding the assumptions about the applicability of the Schrödinger equation to photons and the need for advanced theoretical frameworks such as field theory or QED for a complete understanding of the interactions.