Minimum-uncertaity states and pseudoclassical dynamics. II

The set of initial conditions for which the pseudoclassical evolution algorithm (and minimality conservation) is verified for Hamiltonians of degrees N (N>2) is explicitly determined through a class of restrictions for the corresponding classical trajectories, and it is proved to be at most denum...

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Detalles Bibliográficos
Autores: Canivell Cretchley, Víctor, Seglar, P. (Pedro)
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1978
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/12325
Acceso en línea:https://hdl.handle.net/2445/12325
Access Level:acceso abierto
Palabra clave:Teoria quàntica
Quantum theory
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spelling Minimum-uncertaity states and pseudoclassical dynamics. IICanivell Cretchley, VíctorSeglar, P. (Pedro)Teoria quànticaQuantum theoryThe set of initial conditions for which the pseudoclassical evolution algorithm (and minimality conservation) is verified for Hamiltonians of degrees N (N>2) is explicitly determined through a class of restrictions for the corresponding classical trajectories, and it is proved to be at most denumerable. Thus these algorithms are verified if and only if the system is quadratic except for a set of measure zero. The possibility of time-dependent a-equivalence classes is studied and its physical interpretation is presented. The implied equivalence of the pseudoclassical and Ehrenfest algorithms and their relationship with minimality conservation is discussed in detail. Also, the explicit derivation of the general unitary operator which linearly transforms minimum-uncertainty states leads to the derivation, among others, of operators with a general geometrical interpretation in phase space, such as rotations (parity, Fourier).The American Physical Society1978info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/12325Articles publicats en revistes (Física de la Matèria Condensada)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció digital del document publicat en format paper, proporcionada per PROLA i http://dx.doi.org/10.1103/PhysRevD.18.1082Physical Review D, 1978, vol. 18, núm. 4, p. 1082-1094http://dx.doi.org/10.1103/PhysRevD.18.1082http://dx.doi.org/10.1103/PhysRevD.18.1082(c) The American Physical Society, 1978info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/123252026-05-27T06:46:51Z
dc.title.none.fl_str_mv Minimum-uncertaity states and pseudoclassical dynamics. II
title Minimum-uncertaity states and pseudoclassical dynamics. II
spellingShingle Minimum-uncertaity states and pseudoclassical dynamics. II
Canivell Cretchley, Víctor
Teoria quàntica
Quantum theory
title_short Minimum-uncertaity states and pseudoclassical dynamics. II
title_full Minimum-uncertaity states and pseudoclassical dynamics. II
title_fullStr Minimum-uncertaity states and pseudoclassical dynamics. II
title_full_unstemmed Minimum-uncertaity states and pseudoclassical dynamics. II
title_sort Minimum-uncertaity states and pseudoclassical dynamics. II
dc.creator.none.fl_str_mv Canivell Cretchley, Víctor
Seglar, P. (Pedro)
author Canivell Cretchley, Víctor
author_facet Canivell Cretchley, Víctor
Seglar, P. (Pedro)
author_role author
author2 Seglar, P. (Pedro)
author2_role author
dc.subject.none.fl_str_mv Teoria quàntica
Quantum theory
topic Teoria quàntica
Quantum theory
description The set of initial conditions for which the pseudoclassical evolution algorithm (and minimality conservation) is verified for Hamiltonians of degrees N (N>2) is explicitly determined through a class of restrictions for the corresponding classical trajectories, and it is proved to be at most denumerable. Thus these algorithms are verified if and only if the system is quadratic except for a set of measure zero. The possibility of time-dependent a-equivalence classes is studied and its physical interpretation is presented. The implied equivalence of the pseudoclassical and Ehrenfest algorithms and their relationship with minimality conservation is discussed in detail. Also, the explicit derivation of the general unitary operator which linearly transforms minimum-uncertainty states leads to the derivation, among others, of operators with a general geometrical interpretation in phase space, such as rotations (parity, Fourier).
publishDate 1978
dc.date.none.fl_str_mv 1978
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/12325
url https://hdl.handle.net/2445/12325
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció digital del document publicat en format paper, proporcionada per PROLA i http://dx.doi.org/10.1103/PhysRevD.18.1082
Physical Review D, 1978, vol. 18, núm. 4, p. 1082-1094
http://dx.doi.org/10.1103/PhysRevD.18.1082
http://dx.doi.org/10.1103/PhysRevD.18.1082
dc.rights.none.fl_str_mv (c) The American Physical Society, 1978
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) The American Physical Society, 1978
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv The American Physical Society
publisher.none.fl_str_mv The American Physical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Física de la Matèria Condensada)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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