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Abstract:

It is demonstrated that, making minimal changes in ordinary quantum mechanics, a reasonable irreversible quantum mechanics can be obtained. This theory has a more general spectral decomposition, with eigenvectors corresponding to unstable states that vanish when [Formula Presented] These Gamov vectors have zero norm, in such a way that the norm and the energy of the physical states remain constant. The evolution operator has no inverse, showing that we are really dealing with a time-asymmetric theory. Using the Friedrichs model, reasonable physical results are obtained, e.g., the remnant of an unstable decaying state reappears, in the continuous spectrum of the model, with its primitive energy. © 1997 The American Physical Society.

Registro:

Documento: Artículo
Título:Minimal irreversible quantum mechanics: Pure-state formalism
Autor:Castagnino, M.; Laura, R.
Filiación:Instituto de Astronomía y Física del Espacio, Casilla de Correos 67, Sucursal 28, Buenos Aires, 1428, Argentina
Departamento de Física, Facultad de Ciencias Exactas, Ingeniería y Agrimensura, Universidad Nacional de Rosario, Avenida Pellegrini 250, Rosario, 2000, Argentina
Palabras clave:Eigenvalues and eigenfunctions; Fourier transforms; Mathematical models; Spectrum analysis; Theorem proving; Vectors; Gamov vectors; Hamiltonian; Pure state formalism; Spectral decomposition; Time asymmetry; Time evolution; Quantum theory
Año:1997
Volumen:56
Número:1
Página de inicio:108
Página de fin:119
DOI: http://dx.doi.org/10.1103/PhysRevA.56.108
Título revista:Physical Review A - Atomic, Molecular, and Optical Physics
Título revista abreviado:Phys Rev A
ISSN:10502947
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v56_n1_p108_Castagnino

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Citas:

---------- APA ----------
Castagnino, M. & Laura, R. (1997) . Minimal irreversible quantum mechanics: Pure-state formalism. Physical Review A - Atomic, Molecular, and Optical Physics, 56(1), 108-119.
http://dx.doi.org/10.1103/PhysRevA.56.108
---------- CHICAGO ----------
Castagnino, M., Laura, R. "Minimal irreversible quantum mechanics: Pure-state formalism" . Physical Review A - Atomic, Molecular, and Optical Physics 56, no. 1 (1997) : 108-119.
http://dx.doi.org/10.1103/PhysRevA.56.108
---------- MLA ----------
Castagnino, M., Laura, R. "Minimal irreversible quantum mechanics: Pure-state formalism" . Physical Review A - Atomic, Molecular, and Optical Physics, vol. 56, no. 1, 1997, pp. 108-119.
http://dx.doi.org/10.1103/PhysRevA.56.108
---------- VANCOUVER ----------
Castagnino, M., Laura, R. Minimal irreversible quantum mechanics: Pure-state formalism. Phys Rev A. 1997;56(1):108-119.
http://dx.doi.org/10.1103/PhysRevA.56.108