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Doctoral Thesis
DOI
10.11606/T.43.1986.tde-27022014-151624
Document
Author
Full name
Frederico Firmo de Souza Cruz
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 1986
Supervisor
Committee
Galetti, Diógenes
Haro Junior, Raphael de
Lima, Celso Luiz
Qualifik, Paul
Title in Portuguese
Teorias microscópicas para movimentos coletivos de grande amplitude
Keywords in Portuguese
Física nuclear
Abstract in Portuguese
Neste trabalho as diversas propostas de ''Trajetórias Coletivas" apresentadas na literatura foram derivadas a partir de uma análise local das equações dinâmicas de Hartree Fock Dependente do Tempo. Estas propostas foram comparadas e condições de validade obtidas para hamiltonianas semiclássicas que tem apenas termos de 2ª ordem nos momentos. Uma análise cuidadosa da parametrização de Determinantes de Slater permitiu- nos explorar as características geométricas da teoria de Hartree-Fock Dependente do tempo e construir as trajetórias num formalismo covariante. Esta análise foi aplicada a um modelo esquemático de três níveis SU(3).
Title in English
Microscopic Theories Large Amplitude Collective Motions
Keywords in English
Nuclear physics
Abstract in English
In this work, the many proposals of Collective Paths" that have appeared in literature, were derived through a local analysis of the Time Dependent Hartree Fock dynamics. Those proposals were compared and validity conditions obtained for Semiclassical Hamiltonians which have only quadratic terms in momenta. A careful analysis of the parametrization of Slater Determinants allowed us to exploit the geometrical features of the Time Dependent Hartree Fock Theory and construct the Paths in a covariant way. The analysis was applied to a three level model (SU(3)).
 
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45490Cruz.pdf (42.15 Mbytes)
Publishing Date
2014-02-28
 
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