Functional approach for quantum systems with continuous spectrum
Considering quantum states as functionals acting on observables to give their mean values, it is possible to deal with quantum systems with continuous spectrum, generalizing the concept of trace. Generalized observables and states are defined for a quantum oscillator linearly coupled to a scalar fie...
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todo:paper_1063651X_v57_n4_p3948_Laura2023-10-03T16:01:21Z Functional approach for quantum systems with continuous spectrum Laura, R. Castagnino, M. Boundary conditions Brownian movement Eigenvalues and eigenfunctions Numerical methods Statistical mechanics Continuous spectrum Master equation Quantum oscillator Quantum systems Quantum theory Considering quantum states as functionals acting on observables to give their mean values, it is possible to deal with quantum systems with continuous spectrum, generalizing the concept of trace. Generalized observables and states are defined for a quantum oscillator linearly coupled to a scalar field, and the analytic expression for time evolution is obtained. The “final” state [formula presented] is presented as a weak limit. Finite and infinite numbers of excited modes of the field are considered. © 1998 The American Physical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_1063651X_v57_n4_p3948_Laura |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Boundary conditions Brownian movement Eigenvalues and eigenfunctions Numerical methods Statistical mechanics Continuous spectrum Master equation Quantum oscillator Quantum systems Quantum theory |
| spellingShingle |
Boundary conditions Brownian movement Eigenvalues and eigenfunctions Numerical methods Statistical mechanics Continuous spectrum Master equation Quantum oscillator Quantum systems Quantum theory Laura, R. Castagnino, M. Functional approach for quantum systems with continuous spectrum |
| topic_facet |
Boundary conditions Brownian movement Eigenvalues and eigenfunctions Numerical methods Statistical mechanics Continuous spectrum Master equation Quantum oscillator Quantum systems Quantum theory |
| description |
Considering quantum states as functionals acting on observables to give their mean values, it is possible to deal with quantum systems with continuous spectrum, generalizing the concept of trace. Generalized observables and states are defined for a quantum oscillator linearly coupled to a scalar field, and the analytic expression for time evolution is obtained. The “final” state [formula presented] is presented as a weak limit. Finite and infinite numbers of excited modes of the field are considered. © 1998 The American Physical Society. |
| format |
JOUR |
| author |
Laura, R. Castagnino, M. |
| author_facet |
Laura, R. Castagnino, M. |
| author_sort |
Laura, R. |
| title |
Functional approach for quantum systems with continuous spectrum |
| title_short |
Functional approach for quantum systems with continuous spectrum |
| title_full |
Functional approach for quantum systems with continuous spectrum |
| title_fullStr |
Functional approach for quantum systems with continuous spectrum |
| title_full_unstemmed |
Functional approach for quantum systems with continuous spectrum |
| title_sort |
functional approach for quantum systems with continuous spectrum |
| url |
http://hdl.handle.net/20.500.12110/paper_1063651X_v57_n4_p3948_Laura |
| work_keys_str_mv |
AT laurar functionalapproachforquantumsystemswithcontinuousspectrum AT castagninom functionalapproachforquantumsystemswithcontinuousspectrum |
| _version_ |
1782026222311571456 |