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Having derived quantum theories for the electron and the electromagnetic field, we can put them together to describe how electrons interact with the electromagnetic field by absorbing and/or emitting photons. Here, we present the simplest such calculation.
- Quantizing The Electromagnetic Field
No headers. Previously (Section 4.4), we have gone through...
- Exercises
L. L. Foldy and S. A. Wouthuysen, On the Dirac Theory of...
- Cc By-sa
Chętnie wyświetlilibyśmy opis, ale witryna, którą oglądasz,...
- Quantizing The Electromagnetic Field
But how do an electron and a photon interact? Why can a photon kick up an electron to a higher atomic orbital, or why is a photon emitted when an electron jumps down to a lower orbital? A photon do not have any charge, so the interaction cannot be caused by the Coulomb potential.
Photon-electron interaction refers to the interaction between photons (light particles) and electrons, which is described by a Hamiltonian involving the electron's momentum and the electromagnetic field generated by the photons.
If a high energy photon interacts with an electron, the interaction can be described by the Compton scattering relationship or by the 4-vector formulation of relativistic momentum. As a specific example, consider a 10GeV photon in a head-on collision with an electron at rest.
If a photon enters matter with an energy in excess of 1.022 MeV, it may interact by a process called pair production. The photon, passing near the nucleus of an atom, is subjected to strong field effects from the nucleus and may disappear as a photon and reappear as a positive and negative electron pair.
In this chapter, the basic electron–phonon (which may also be hole–phonon) interaction is given a general treatment. The various interactions found to be important in semiconductors are treated to yield scattering rates appropriate to each process.
21 maj 2016 · The electron–phonon interaction is presented in detail starting from its most general formulation, considering nonpolar (deformation potential) and polar (Fröhlich) interactions. The possible way to calculate the nonpolar electron–phonon matrix elements using DFT is discussed and the rigid-ion approximation is developed in detail.
