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Symmetries and Dirac equation solutions; Simetrias e solucoes da equacao de Dirac

Abstract

The purpose of this thesis is the extension to be relativistic case of a method that has proved useful for the solution of various potential problems in non relativistic situation. This method, the method of dynamical symmetries, is based on the Baker-Campbell-Hausdorf formulae and developed first for the particular example of the relativistic Coulomb problem. Here we generalize the method for a Hamiltonian that can be written as a linear combination of generators of the SO(2,1) group. As illustrative examples, we solve the problem of a charged particle in a constant magnetic field and the exponential magnetic field. (author). 21 refs.
Publication Date:
Jun 01, 1991
Product Type:
Thesis/Dissertation
Report Number:
INIS-BR-3577
Reference Number:
SCA: 662120; PA: AIX-27:020581; EDB-96:049138; NTS-96:016121; SN: 96001551333
Resource Relation:
Other Information: TH: Tese (M.Sc.).; PBD: Jun 1991
Subject:
66 PHYSICS; DIRAC EQUATION; COULOMB FIELD; SYMMETRY; ENERGY SPECTRA; FERMIONS; GREEN FUNCTION; HAMILTONIANS; MAGNETIC FIELDS; RELATIVISTIC RANGE; SO-2 GROUPS
OSTI ID:
189273
Research Organizations:
Universidade Federal, Rio de Janeiro, RJ (Brazil). Inst. de Fisica
Country of Origin:
Brazil
Language:
Portuguese
Other Identifying Numbers:
Other: ON: DE96616387; TRN: BR9634397020581
Availability:
INIS; OSTI as DE96616387
Submitting Site:
BRN
Size:
92 p.
Announcement Date:
Mar 07, 1996

Citation Formats

Souza, Marcio Lima de. Symmetries and Dirac equation solutions; Simetrias e solucoes da equacao de Dirac. Brazil: N. p., 1991. Web.
Souza, Marcio Lima de. Symmetries and Dirac equation solutions; Simetrias e solucoes da equacao de Dirac. Brazil.
Souza, Marcio Lima de. 1991. "Symmetries and Dirac equation solutions; Simetrias e solucoes da equacao de Dirac." Brazil.
@misc{etde_189273,
title = {Symmetries and Dirac equation solutions; Simetrias e solucoes da equacao de Dirac}
author = {Souza, Marcio Lima de}
abstractNote = {The purpose of this thesis is the extension to be relativistic case of a method that has proved useful for the solution of various potential problems in non relativistic situation. This method, the method of dynamical symmetries, is based on the Baker-Campbell-Hausdorf formulae and developed first for the particular example of the relativistic Coulomb problem. Here we generalize the method for a Hamiltonian that can be written as a linear combination of generators of the SO(2,1) group. As illustrative examples, we solve the problem of a charged particle in a constant magnetic field and the exponential magnetic field. (author). 21 refs.}
place = {Brazil}
year = {1991}
month = {Jun}
}