Classical and Quantum Theories of Spin

A great effort has been devoted to formulating a classical relativistic theory of spin compatible with quantum relativistic wave equations. The main difficulty in connecting classical and quantum theories rests in finding a parameter that plays the role of proper time at a purely quantum level. We p...

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Autores principales: Gaioli, Fabián Horacio, Garcia Alvarez, Edgardo
Publicado: 1998
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00159018_v28_n10_p1539_Gaioli
http://hdl.handle.net/20.500.12110/paper_00159018_v28_n10_p1539_Gaioli
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00159018_v28_n10_p1539_Gaioli
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spelling paper:paper_00159018_v28_n10_p1539_Gaioli2023-06-08T14:38:11Z Classical and Quantum Theories of Spin Gaioli, Fabián Horacio Garcia Alvarez, Edgardo A great effort has been devoted to formulating a classical relativistic theory of spin compatible with quantum relativistic wave equations. The main difficulty in connecting classical and quantum theories rests in finding a parameter that plays the role of proper time at a purely quantum level. We present a partial review of several proposals of classical and quantum spin theories from the pioneering works of Thomas and Frenkel, revisited in the classical BMT work, to the semiclassical model of Barut and Zanghi. We show that the last model can be obtained from a semiclassical limit of the Feynman proper time parametrization of the Dirac equation. At the quantum level, we derive spin precession equations in the Heisenberg picture. Analogies and differences with respect to classical theories are discussed in detail. Fil:Gaioli, F.H. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Garcia Alvarez, E.T. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1998 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00159018_v28_n10_p1539_Gaioli http://hdl.handle.net/20.500.12110/paper_00159018_v28_n10_p1539_Gaioli
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description A great effort has been devoted to formulating a classical relativistic theory of spin compatible with quantum relativistic wave equations. The main difficulty in connecting classical and quantum theories rests in finding a parameter that plays the role of proper time at a purely quantum level. We present a partial review of several proposals of classical and quantum spin theories from the pioneering works of Thomas and Frenkel, revisited in the classical BMT work, to the semiclassical model of Barut and Zanghi. We show that the last model can be obtained from a semiclassical limit of the Feynman proper time parametrization of the Dirac equation. At the quantum level, we derive spin precession equations in the Heisenberg picture. Analogies and differences with respect to classical theories are discussed in detail.
author Gaioli, Fabián Horacio
Garcia Alvarez, Edgardo
spellingShingle Gaioli, Fabián Horacio
Garcia Alvarez, Edgardo
Classical and Quantum Theories of Spin
author_facet Gaioli, Fabián Horacio
Garcia Alvarez, Edgardo
author_sort Gaioli, Fabián Horacio
title Classical and Quantum Theories of Spin
title_short Classical and Quantum Theories of Spin
title_full Classical and Quantum Theories of Spin
title_fullStr Classical and Quantum Theories of Spin
title_full_unstemmed Classical and Quantum Theories of Spin
title_sort classical and quantum theories of spin
publishDate 1998
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00159018_v28_n10_p1539_Gaioli
http://hdl.handle.net/20.500.12110/paper_00159018_v28_n10_p1539_Gaioli
work_keys_str_mv AT gaiolifabianhoracio classicalandquantumtheoriesofspin
AT garciaalvarezedgardo classicalandquantumtheoriesofspin
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