Accession Number : AD0617527

Title :   QUANTUM THEORY OF INTENSE PHOTON BEAMS.

Descriptive Note : Final rept.,

Corporate Author : TRW SPACE TECHNOLOGY LABS REDONDO BEACH CALIF

Personal Author(s) : Frantz,Lee M.

Report Date : 09 JUN 1965

Pagination or Media Count : 63

Abstract : A formal expression was derived for the field theoretic transition amplitude in a Brillouin-Wigner perturbation expansion. The principal innovation is the use of wave packets to introduce the boundary conditions, thereby avoiding the need for invoking the adiabatic hypothesis. The field of incident particles, but not the scatter, is second quantized. No restrictions are placed on the number of incident quanta. The resulting expression is thus appropriate, for example, to the nonrelativistic description of the scattering of a photon beam of arbitrary intensity by an atom. A set of formally exact scattering eigenvectors is produced. A time-dependent solution to the Schroedinger equation is then formed from a weighted superposition of them. An asymptotic expansion of the wave function in reciprocal powers of the time was developed and shown to have the form, in the remote past and future, of a free wave packet of quanta spatially isolated from the scatterer. The transition amplitude was identified by a comparison of the initial and final-state wave packets, and found to be a super-position of elements of the usual Brillouin-Wigner T-matrix, each weighted by the corresponding weight factor in the initial-state wave packet. (Author)

Descriptors :   (*QUANTUM THEORY, PHOTONS), (*PHOTONS, QUANTUM THEORY), INTENSITY, LASERS, FIELD THEORY, PERTURBATION THEORY, VECTOR ANALYSIS

Distribution Statement : APPROVED FOR PUBLIC RELEASE