Coherent states, vacuum structure and infinite component relativistic wave equations

It is commonly claimed in the recent literature that certain solutions to wave equations of positive energy of Dirac-type with internal variables are characterized by a non-thermal spectrum. As part of that statement, it was said that the transformations and symmetries involved in equations of such...

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Detalles Bibliográficos
Autor principal: Cirilo, Diego Julio
Publicado: 2016
Materias:
coherent states
geometry and topology
Group theory
relativistic wave equations
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02198878_v13_n1_p_CiriloLombardo
http://hdl.handle.net/20.500.12110/paper_02198878_v13_n1_p_CiriloLombardo
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_02198878_v13_n1_p_CiriloLombardo
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spelling paper:paper_02198878_v13_n1_p_CiriloLombardo2023-06-08T15:21:40Z Coherent states, vacuum structure and infinite component relativistic wave equations Cirilo, Diego Julio coherent states geometry and topology Group theory relativistic wave equations It is commonly claimed in the recent literature that certain solutions to wave equations of positive energy of Dirac-type with internal variables are characterized by a non-thermal spectrum. As part of that statement, it was said that the transformations and symmetries involved in equations of such type corresponded to a particular representation of the Lorentz group. In this paper, we give the general solution to this problem emphasizing the interplay between the group structure, the corresponding algebra and the physical spectrum. This analysis is completed with a strong discussion and proving that: (i) the physical states are represented by coherent states; (ii) the solutions in [Yu. P. Stepanovsky, Nucl. Phys. B (Proc. Suppl.) 102 (2001) 407-411; 103 (2001) 407-411] are not general, (iii) the symmetries of the considered physical system in [Yu. P. Stepanovsky, Nucl. Phys. B (Proc. Suppl.) 102 (2001) 407-411; 103 (2001) 407-411] (equations and geometry) do not correspond to the Lorentz group but to the fourth covering: the Metaplectic group Mp(n). © 2016 World Scientific Publishing Company. Fil:Cirilo-Lombardo, D.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02198878_v13_n1_p_CiriloLombardo http://hdl.handle.net/20.500.12110/paper_02198878_v13_n1_p_CiriloLombardo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic coherent states
geometry and topology
Group theory
relativistic wave equations
spellingShingle coherent states
geometry and topology
Group theory
relativistic wave equations
Cirilo, Diego Julio
Coherent states, vacuum structure and infinite component relativistic wave equations
topic_facet coherent states
geometry and topology
Group theory
relativistic wave equations
description It is commonly claimed in the recent literature that certain solutions to wave equations of positive energy of Dirac-type with internal variables are characterized by a non-thermal spectrum. As part of that statement, it was said that the transformations and symmetries involved in equations of such type corresponded to a particular representation of the Lorentz group. In this paper, we give the general solution to this problem emphasizing the interplay between the group structure, the corresponding algebra and the physical spectrum. This analysis is completed with a strong discussion and proving that: (i) the physical states are represented by coherent states; (ii) the solutions in [Yu. P. Stepanovsky, Nucl. Phys. B (Proc. Suppl.) 102 (2001) 407-411; 103 (2001) 407-411] are not general, (iii) the symmetries of the considered physical system in [Yu. P. Stepanovsky, Nucl. Phys. B (Proc. Suppl.) 102 (2001) 407-411; 103 (2001) 407-411] (equations and geometry) do not correspond to the Lorentz group but to the fourth covering: the Metaplectic group Mp(n). © 2016 World Scientific Publishing Company.
author Cirilo, Diego Julio
author_facet Cirilo, Diego Julio
author_sort Cirilo, Diego Julio
title Coherent states, vacuum structure and infinite component relativistic wave equations
title_short Coherent states, vacuum structure and infinite component relativistic wave equations
title_full Coherent states, vacuum structure and infinite component relativistic wave equations
title_fullStr Coherent states, vacuum structure and infinite component relativistic wave equations
title_full_unstemmed Coherent states, vacuum structure and infinite component relativistic wave equations
title_sort coherent states, vacuum structure and infinite component relativistic wave equations
publishDate 2016
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02198878_v13_n1_p_CiriloLombardo
http://hdl.handle.net/20.500.12110/paper_02198878_v13_n1_p_CiriloLombardo
work_keys_str_mv AT cirilodiegojulio coherentstatesvacuumstructureandinfinitecomponentrelativisticwaveequations
_version_ 1768544862827708416

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