The classical-statistical limit of quantum mechanics

The classical-statistical limit of quantum mechanics is studied. It is proved that the limit ℏ→0 coincides with that limit for the operator algebra, but it is not so for the state convex set. In the last case decoherence must be invoked to obtain the classical-statistical limit. © 2003 Elsevier B.V....

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Detalles Bibliográficos
Autor principal: Castagnino, M.
Formato: JOUR
Materias:
Algebra
Functions
Hamiltonians
Mathematical models
Mathematical operators
Probability density function
Problem solving
Set theory
Continuous spectra
Time evolution
Quantum theory
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03784371_v335_n3-4_p511_Castagnino
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_03784371_v335_n3-4_p511_Castagnino
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spelling todo:paper_03784371_v335_n3-4_p511_Castagnino2023-10-03T15:32:41Z The classical-statistical limit of quantum mechanics Castagnino, M. Algebra Functions Hamiltonians Mathematical models Mathematical operators Probability density function Problem solving Set theory Continuous spectra Time evolution Quantum theory The classical-statistical limit of quantum mechanics is studied. It is proved that the limit ℏ→0 coincides with that limit for the operator algebra, but it is not so for the state convex set. In the last case decoherence must be invoked to obtain the classical-statistical limit. © 2003 Elsevier B.V. All rights reserved. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03784371_v335_n3-4_p511_Castagnino
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Algebra
Functions
Hamiltonians
Mathematical models
Mathematical operators
Probability density function
Problem solving
Set theory
Continuous spectra
Time evolution
Quantum theory
spellingShingle Algebra
Functions
Hamiltonians
Mathematical models
Mathematical operators
Probability density function
Problem solving
Set theory
Continuous spectra
Time evolution
Quantum theory
Castagnino, M.
The classical-statistical limit of quantum mechanics
topic_facet Algebra
Functions
Hamiltonians
Mathematical models
Mathematical operators
Probability density function
Problem solving
Set theory
Continuous spectra
Time evolution
Quantum theory
description The classical-statistical limit of quantum mechanics is studied. It is proved that the limit ℏ→0 coincides with that limit for the operator algebra, but it is not so for the state convex set. In the last case decoherence must be invoked to obtain the classical-statistical limit. © 2003 Elsevier B.V. All rights reserved.
format JOUR
author Castagnino, M.
author_facet Castagnino, M.
author_sort Castagnino, M.
title The classical-statistical limit of quantum mechanics
title_short The classical-statistical limit of quantum mechanics
title_full The classical-statistical limit of quantum mechanics
title_fullStr The classical-statistical limit of quantum mechanics
title_full_unstemmed The classical-statistical limit of quantum mechanics
title_sort classical-statistical limit of quantum mechanics
url http://hdl.handle.net/20.500.12110/paper_03784371_v335_n3-4_p511_Castagnino
work_keys_str_mv AT castagninom theclassicalstatisticallimitofquantummechanics
AT castagninom classicalstatisticallimitofquantummechanics
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