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Entropy 2018, 20(4), 231; doi:10.3390/e20040231

The Definition of Entropy for Quantum Unstable Systems: A View-Point Based on the Properties of Gamow States

1
Department of Physics, University of La Plata, and IFLP-CONICET, 49 y 115. c.c.67, La Plata 1900, Argentina
2
Departamento de Física Teórica, Atómica y Óptica and IMUVA, Universidad de Valladolid, Paseo Belén 7, 47011 Valladolid, Spain
*
Author to whom correspondence should be addressed.
Received: 23 November 2017 / Revised: 16 February 2018 / Accepted: 1 March 2018 / Published: 28 March 2018
(This article belongs to the Special Issue Emergent Quantum Mechanics – David Bohm Centennial Perspectives)
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Abstract

In this paper, we review the concept of entropy in connection with the description of quantum unstable systems. We revise the conventional definition of entropy due to Boltzmann and extend it so as to include the presence of complex-energy states. After introducing a generalized basis of states which includes resonances, and working with amplitudes instead of probabilities, we found an expression for the entropy which exhibits real and imaginary components. We discuss the meaning of the imaginary part of the entropy on the basis of the similarities existing between thermal and time evolutions. View Full-Text
Keywords: entropy and time evolution; resonances in quantum systems; the Friedrichs model; complex entropy. entropy and time evolution; resonances in quantum systems; the Friedrichs model; complex entropy.
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Civitarese, O.; Gadella, M. The Definition of Entropy for Quantum Unstable Systems: A View-Point Based on the Properties of Gamow States. Entropy 2018, 20, 231.

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