# Accession Number:

## AD0754307

# Title:

## Behavior of Scalar and Spin1/2 Particles in the Field of Two Intense Electromagnetic Waves.

# Descriptive Note:

## Research and development technical rept.,

# Corporate Author:

## ARMY ELECTRONICS COMMAND FORT MONMOUTH N J

# Personal Author(s):

# Report Date:

## 1972-11-01

# Pagination or Media Count:

## 42.0

# Abstract:

EQUATIONA method for the approximate solution of the Klein-Gordon and Dirac equations for charged particles in the presence of two electromagnetic, noncollinear, transverse plane waves has been developed. The solution to the Klein-Gordon equation is a product of functions which are either solutions to linear, ordinary differential equations of the Hill type or solutions to a Volkov equation. It is shown that solutions to the Dirac equation can be constructed from sums of functions similar to those mentioned above. The mass-energy relation in this approximation has a complicated dependence on the field strengths and particle momentum. In particular, it was found that a slowly moving particle in an intense standing electromagnetic wave has a mass shift of order V squaredC squared times that given by second order perturbation theory. Here V is the component of particle velocity perpendicular to the direction of propagation of the waves. Author

# Descriptors:

# Subject Categories:

- Nuclear Physics and Elementary Particle Physics
- Quantum Theory and Relativity