Classical and quantum particle dynamics in univariate background fields
Journal article, 2016

We investigate deviations from the plane wave model in the interaction of charged particles with strong electromagnetic fields. A general result is that integrability of the dynamics is lost when going from lightlike to timelike or spacelike field dependence. For a special scenario in the classical regime we show how the radiation spectrum in the spacelike (undulator) case becomes well-approximated by the plane wave model in the high-energy limit, despite the two systems being Lorentz inequivalent. In the quantum problem, there is no analogue of the WKB-exact Volkov solution. Nevertheless, WKB and uniform-WKB approaches give good approximations in all cases considered. Other approaches that reduce the underlying differential equations from second to first order are found to miss the correct physics for situations corresponding to barrier transmission and wide-angle scattering.

photon

compton-scattering

laser

dirac

plasma

light

electric-field

Author

T. Heinzl

Antony Ilderton

Chalmers, Physics, Theoretical Physics

B. King

Physical Review D

2470-0010 (ISSN) 2470-0029 (eISSN)

Vol. 94 6

Subject Categories

Astronomy, Astrophysics and Cosmology

DOI

10.1103/PhysRevD.94.065039

More information

Created

10/7/2017