Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Functional approach for quantum systems with continuous spectrum |
Autor: | Laura, R.; Castagnino, M. |
Filiación: | Departamento de Física, FCEIA, Universidad Nacional de Rosario, Instituto de Física Rosario, CONICET-UNR, Avenida, Pellegrini 250, Rosario, 2000, Argentina Instituto de Astronomíay Física del Espacio, Casilla, de Correos 67, Sucursal 28, Buenos Aires, 1428, Argentina
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Palabras clave: | Boundary conditions; Brownian movement; Eigenvalues and eigenfunctions; Numerical methods; Statistical mechanics; Continuous spectrum; Master equation; Quantum oscillator; Quantum systems; Quantum theory |
Año: | 1998
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Volumen: | 57
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Número: | 4
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Página de inicio: | 3948
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Página de fin: | 3961
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DOI: |
http://dx.doi.org/10.1103/PhysRevE.57.3948 |
Título revista: | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
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Título revista abreviado: | Phys Rev E.
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ISSN: | 1063651X
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v57_n4_p3948_Laura |
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Citas:
---------- APA ----------
Laura, R. & Castagnino, M.
(1998)
. Functional approach for quantum systems with continuous spectrum. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 57(4), 3948-3961.
http://dx.doi.org/10.1103/PhysRevE.57.3948---------- CHICAGO ----------
Laura, R., Castagnino, M.
"Functional approach for quantum systems with continuous spectrum"
. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 57, no. 4
(1998) : 3948-3961.
http://dx.doi.org/10.1103/PhysRevE.57.3948---------- MLA ----------
Laura, R., Castagnino, M.
"Functional approach for quantum systems with continuous spectrum"
. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 57, no. 4, 1998, pp. 3948-3961.
http://dx.doi.org/10.1103/PhysRevE.57.3948---------- VANCOUVER ----------
Laura, R., Castagnino, M. Functional approach for quantum systems with continuous spectrum. Phys Rev E. 1998;57(4):3948-3961.
http://dx.doi.org/10.1103/PhysRevE.57.3948