Phase-space description of quantum rotations
We propose a Wigner transformation of the density matrix and operators of a system with bounded coordinates and discrete momentum spectra (typically, a particle in a box) and prove that all requirements for such a transformation are satisfied. The phase-space mapping adopted here is employed to comp...
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todo:paper_10502947_v43_n9_p4594_Gatica2023-10-03T15:58:53Z Phase-space description of quantum rotations Gatica, S.M. Hernandez, E.S. We propose a Wigner transformation of the density matrix and operators of a system with bounded coordinates and discrete momentum spectra (typically, a particle in a box) and prove that all requirements for such a transformation are satisfied. The phase-space mapping adopted here is employed to compute the quasiprobability distributions associated with the pure states of a quantum rotator and the image of the angular momentum operator. The mapping of the dynamics of these objects, both in the reversible and irreversible frame, is constructed as well, and the conditions for the existence of a classical limit in the form of a Fokker-Planck equation of motion are investigated. © 1991 The American Physical Society. Fil:Gatica, S.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Hernandez, E.S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10502947_v43_n9_p4594_Gatica |
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Universidad de Buenos Aires |
institution_str |
I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
description |
We propose a Wigner transformation of the density matrix and operators of a system with bounded coordinates and discrete momentum spectra (typically, a particle in a box) and prove that all requirements for such a transformation are satisfied. The phase-space mapping adopted here is employed to compute the quasiprobability distributions associated with the pure states of a quantum rotator and the image of the angular momentum operator. The mapping of the dynamics of these objects, both in the reversible and irreversible frame, is constructed as well, and the conditions for the existence of a classical limit in the form of a Fokker-Planck equation of motion are investigated. © 1991 The American Physical Society. |
format |
JOUR |
author |
Gatica, S.M. Hernandez, E.S. |
spellingShingle |
Gatica, S.M. Hernandez, E.S. Phase-space description of quantum rotations |
author_facet |
Gatica, S.M. Hernandez, E.S. |
author_sort |
Gatica, S.M. |
title |
Phase-space description of quantum rotations |
title_short |
Phase-space description of quantum rotations |
title_full |
Phase-space description of quantum rotations |
title_fullStr |
Phase-space description of quantum rotations |
title_full_unstemmed |
Phase-space description of quantum rotations |
title_sort |
phase-space description of quantum rotations |
url |
http://hdl.handle.net/20.500.12110/paper_10502947_v43_n9_p4594_Gatica |
work_keys_str_mv |
AT gaticasm phasespacedescriptionofquantumrotations AT hernandezes phasespacedescriptionofquantumrotations |
_version_ |
1807317287971061760 |