Collective coordinates as open systems. (I). Existence conditions for frictional hamiltonians

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We examine the time evolution of an object coupled to a heat reservoir at zero temperature in the framework of general master and kinetic equations for open systems. As we specialize to the particular set of solutions that represents pure states, we are led to a frictional Schrödinger equation that...

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Autores principales: Dorso, C.O., Hernández, E.S.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03759474_v372_n1-2_p215_Dorso
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_03759474_v372_n1-2_p215_Dorso
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spelling todo:paper_03759474_v372_n1-2_p215_Dorso2023-10-03T15:30:41Z Collective coordinates as open systems. (I). Existence conditions for frictional hamiltonians Dorso, C.O. Hernández, E.S. We examine the time evolution of an object coupled to a heat reservoir at zero temperature in the framework of general master and kinetic equations for open systems. As we specialize to the particular set of solutions that represents pure states, we are led to a frictional Schrödinger equation that is free from either heuristic hypotheses or perturbation-like approximations. The generator of the evolution of damped pure states, namely the frictional hamiltonian. can be seen to be non-hermitian and to satisfy an integral, non-linear equation. The Schrödinger equation for damped wave packets is valid at all times, provided that a strongly restrictive condition holds. This condition offers an interesting interpretation in the general case. while in the weak-coupling limit, it could be said to provide a quantal version of a fluctuation-dissipation theorem. © 1981. Fil:Dorso, C.O. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Hernández, 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_03759474_v372_n1-2_p215_Dorso
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We examine the time evolution of an object coupled to a heat reservoir at zero temperature in the framework of general master and kinetic equations for open systems. As we specialize to the particular set of solutions that represents pure states, we are led to a frictional Schrödinger equation that is free from either heuristic hypotheses or perturbation-like approximations. The generator of the evolution of damped pure states, namely the frictional hamiltonian. can be seen to be non-hermitian and to satisfy an integral, non-linear equation. The Schrödinger equation for damped wave packets is valid at all times, provided that a strongly restrictive condition holds. This condition offers an interesting interpretation in the general case. while in the weak-coupling limit, it could be said to provide a quantal version of a fluctuation-dissipation theorem. © 1981.
format JOUR
author Dorso, C.O.
Hernández, E.S.
spellingShingle Dorso, C.O.
Hernández, E.S.
Collective coordinates as open systems. (I). Existence conditions for frictional hamiltonians
author_facet Dorso, C.O.
Hernández, E.S.
author_sort Dorso, C.O.
title Collective coordinates as open systems. (I). Existence conditions for frictional hamiltonians
title_short Collective coordinates as open systems. (I). Existence conditions for frictional hamiltonians
title_full Collective coordinates as open systems. (I). Existence conditions for frictional hamiltonians
title_fullStr Collective coordinates as open systems. (I). Existence conditions for frictional hamiltonians
title_full_unstemmed Collective coordinates as open systems. (I). Existence conditions for frictional hamiltonians
title_sort collective coordinates as open systems. (i). existence conditions for frictional hamiltonians
url http://hdl.handle.net/20.500.12110/paper_03759474_v372_n1-2_p215_Dorso
work_keys_str_mv AT dorsoco collectivecoordinatesasopensystemsiexistenceconditionsforfrictionalhamiltonians
AT hernandezes collectivecoordinatesasopensystemsiexistenceconditionsforfrictionalhamiltonians
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