Volkov solution for an electron in the two wave fields
Miroslav Pardy
TL;DR
This paper generalizes the Volkov solution of the Dirac equation to an electron in two orthogonal electromagnetic waves and derives a modified Compton scattering formula for this scenario.
Contribution
It introduces a generalized Volkov solution for an electron in two plane electromagnetic waves and derives a new scattering formula for two-photon interactions.
Findings
Derived the generalized Dirac wave function in two wave fields
Obtained solutions for orthogonal electromagnetic waves
Formulated a modified Compton scattering formula
Abstract
It is considered the Dirac equation with two different four-potentials of the plane electromagnetic waves. We derive the equation for the wave function which is generalized form of the Volkov equation. We find the solutions of the Dirac equation for two orthogonal waves. We determine the modified Compton formula for the scattering of two photons on an electron.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsCrystallography and Radiation Phenomena · Particle Accelerators and Free-Electron Lasers · Laser-Plasma Interactions and Diagnostics