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Exact perturbation theory of multiphoton processes at high intensities. [Schroedinger equation, perturbation theory, matrix]

Journal Article:

Abstract

In this work the perturbation theory for multiphoton processes at high intensities is investigated and it is described an analytical method of summing the perturbation series to extract the contribution from all terms that give rise to the absorption of N photons by an atomic system. The method is first applied to the solution of a simple model problem and the result is confirmed by direct integration of the model Schroedinger equation. The usual lowest (nonvanishing)-order perturbation-theoretical calculation is also carried out for this model to demonstrate explicitly that the full result correctly reproduces that of the lowest-order theory in the limit of low intensity. The method is then extended to the case of an atomic system with well-developed spectrum (e.g. H atom) and the N-photon T-matrix is derived in terms of a ''photon matrix'' asub(N), for which a three-term recurrence relation is established. Next, from the vantage point of the general result obtained here, A probe is made into the nature of several approximate nonperturbative solutions that have appeared in the literature in the past. It is shown here that their applicability is severely restricted by the requirement of the essential spectral degeneracy of the atomic system. Finally, appendix  More>>
Authors:
Faisal, F H.M. [1] 
  1. Bielefeld Univ. (Germany, F.R.). Fakultaet fuer Physik
Publication Date:
Jun 11, 1976
Product Type:
Journal Article
Reference Number:
AIX-09-368538; EDB-78-092675
Resource Relation:
Journal Name: Nuovo Cim., B; (Italy); Journal Volume: 33:2
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; HYDROGEN; PHOTON-ATOM COLLISIONS; ABSORPTION; GASES; MATRICES; PERTURBATION THEORY; PHOTOIONIZATION; SCHROEDINGER EQUATION; ATOM COLLISIONS; COLLISIONS; CRYOGENIC FLUIDS; DIFFERENTIAL EQUATIONS; ELEMENTS; EQUATIONS; FLUIDS; IONIZATION; NONMETALS; PHOTON COLLISIONS; WAVE EQUATIONS; 640305* - Atomic, Molecular & Chemical Physics- Atomic & Molecular Theory- (-1987); 640302 - Atomic, Molecular & Chemical Physics- Atomic & Molecular Properties & Theory
OSTI ID:
6778699
Country of Origin:
Italy
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: NCIBA
Submitting Site:
INIS
Size:
Pages: 775-795
Announcement Date:

Journal Article:

Citation Formats

Faisal, F H.M. Exact perturbation theory of multiphoton processes at high intensities. [Schroedinger equation, perturbation theory, matrix]. Italy: N. p., 1976. Web.
Faisal, F H.M. Exact perturbation theory of multiphoton processes at high intensities. [Schroedinger equation, perturbation theory, matrix]. Italy.
Faisal, F H.M. 1976. "Exact perturbation theory of multiphoton processes at high intensities. [Schroedinger equation, perturbation theory, matrix]." Italy.
@misc{etde_6778699,
title = {Exact perturbation theory of multiphoton processes at high intensities. [Schroedinger equation, perturbation theory, matrix]}
author = {Faisal, F H.M.}
abstractNote = {In this work the perturbation theory for multiphoton processes at high intensities is investigated and it is described an analytical method of summing the perturbation series to extract the contribution from all terms that give rise to the absorption of N photons by an atomic system. The method is first applied to the solution of a simple model problem and the result is confirmed by direct integration of the model Schroedinger equation. The usual lowest (nonvanishing)-order perturbation-theoretical calculation is also carried out for this model to demonstrate explicitly that the full result correctly reproduces that of the lowest-order theory in the limit of low intensity. The method is then extended to the case of an atomic system with well-developed spectrum (e.g. H atom) and the N-photon T-matrix is derived in terms of a ''photon matrix'' asub(N), for which a three-term recurrence relation is established. Next, from the vantage point of the general result obtained here, A probe is made into the nature of several approximate nonperturbative solutions that have appeared in the literature in the past. It is shown here that their applicability is severely restricted by the requirement of the essential spectral degeneracy of the atomic system. Finally, appendix A outlines a prescription of computing the photon matrix asub(N), which (as in the usual lowest-order perturbation-theoretical calculation)requires a knowledge of the eigenfunctions and eigenvalues of the atomic Hamiltonian only.}
journal = {Nuovo Cim., B; (Italy)}
volume = {33:2}
journal type = {AC}
place = {Italy}
year = {1976}
month = {Jun}
}