The feynman path integral formalism: Atomic and molecular electronic structure

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This chapter discusses a significant mathematical framework for the understanding of the properties of physical systems having large or infinite number of degrees of freedom, which is provided by path integral formulations of the many-body problem. The chapter deals with the theory of the hydrogenic...

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Autores principales: Grinberg, H., Maranon, J.
Formato: SER
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00653276_v22_nC_p7_Grinberg
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00653276_v22_nC_p7_Grinberg
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spelling todo:paper_00653276_v22_nC_p7_Grinberg2023-10-03T14:52:56Z The feynman path integral formalism: Atomic and molecular electronic structure Grinberg, H. Maranon, J. This chapter discusses a significant mathematical framework for the understanding of the properties of physical systems having large or infinite number of degrees of freedom, which is provided by path integral formulations of the many-body problem. The chapter deals with the theory of the hydrogenic oscillator in four dimensions. It discusses the hydrogen-oscillator connection in the framework of the unified view of symmetry, which emerges in such a treatment. The Feynman path integral is used to show the equivalence between a finite many-body problem for a non-relativistic molecular system of N electrons and N one-dimensional king models. The idea of quantum fluctuations of the ground state is discussed, a link is established with bifurcation and catastrophe theory, and a connection with vacuum state fluctuations is investigated. The Feynman path integral representation for memory super-operators is investigated. A physical interpretation of evolution super-operators in a Liouville space is provided and shown to be closely related to Feynman representation of quantum mechanics. © 1991 Academic Press Inc. Fil:Grinberg, H. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. SER info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00653276_v22_nC_p7_Grinberg
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description This chapter discusses a significant mathematical framework for the understanding of the properties of physical systems having large or infinite number of degrees of freedom, which is provided by path integral formulations of the many-body problem. The chapter deals with the theory of the hydrogenic oscillator in four dimensions. It discusses the hydrogen-oscillator connection in the framework of the unified view of symmetry, which emerges in such a treatment. The Feynman path integral is used to show the equivalence between a finite many-body problem for a non-relativistic molecular system of N electrons and N one-dimensional king models. The idea of quantum fluctuations of the ground state is discussed, a link is established with bifurcation and catastrophe theory, and a connection with vacuum state fluctuations is investigated. The Feynman path integral representation for memory super-operators is investigated. A physical interpretation of evolution super-operators in a Liouville space is provided and shown to be closely related to Feynman representation of quantum mechanics. © 1991 Academic Press Inc.
format SER
author Grinberg, H.
Maranon, J.
spellingShingle Grinberg, H.
Maranon, J.
The feynman path integral formalism: Atomic and molecular electronic structure
author_facet Grinberg, H.
Maranon, J.
author_sort Grinberg, H.
title The feynman path integral formalism: Atomic and molecular electronic structure
title_short The feynman path integral formalism: Atomic and molecular electronic structure
title_full The feynman path integral formalism: Atomic and molecular electronic structure
title_fullStr The feynman path integral formalism: Atomic and molecular electronic structure
title_full_unstemmed The feynman path integral formalism: Atomic and molecular electronic structure
title_sort feynman path integral formalism: atomic and molecular electronic structure
url http://hdl.handle.net/20.500.12110/paper_00653276_v22_nC_p7_Grinberg
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AT maranonj thefeynmanpathintegralformalismatomicandmolecularelectronicstructure
AT grinbergh feynmanpathintegralformalismatomicandmolecularelectronicstructure
AT maranonj feynmanpathintegralformalismatomicandmolecularelectronicstructure
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