Discrete Dynamics in Nature and Society

Discrete Dynamics in Nature and Society / 2004 / Article
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In memory of Ilya Prigogine

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Volume 2004 |Article ID 189781 | https://doi.org/10.1155/S1026022604401046

R. C. Bishop, A. Bohm, M. Gadella, "Irreversibility in quantum mechanics", Discrete Dynamics in Nature and Society, vol. 2004, Article ID 189781, 9 pages, 2004. https://doi.org/10.1155/S1026022604401046

Irreversibility in quantum mechanics

Received19 Jan 2004


Time asymmetry and irreversibility are signal features of our world. They are the reason of our aging and the basis for our belief that effects are preceded by causes. These features have many manifestations called arrows of time. In classical physics, some of these arrows are described by the increase of entropy or probability, and others by time-asymmetric boundary conditions of time-symmetric equations (e.g., Maxwell or Einstein). However, there is some controversy over whether probability or boundary conditions are more fundamental. For quantum systems, entropy increase is usually associated with the effects of an environment or measurement apparatus on a quantum system and is described by the von Neumann-Liouville equation. But since the traditional (von Neumann) axioms of quantum mechanics do not allow time-asymmetric boundary conditions for the dynamical differential equations (Schrödinger or Heisenberg), there is no quantum analogue of the radiation arrow of time. In this paper, we review consequences of a modification of a fundamental axiom of quantum mechanics. The new quantum theory is time asymmetric and accommodates an irreversible time evolution of isolated quantum systems.

Copyright © 2004 Hindawi Publishing Corporation. 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.

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