Chaos in a Model of an Open Quantum System

Autor:	Frederick M. Kronz
Rok vydání:	2000
Předmět:	History Quantum discord Pure mathematics Quantum chaos Quantum relative entropy Philosophy Theoretical physics Open quantum system History and Philosophy of Science Quantum process Mathematical formulation of quantum mechanics Quantum mutual information Joint quantum entropy Mathematics
Zdroj:	Philosophy of Science. 67:S446-S453
ISSN:	1539-767X 0031-8248
DOI:	10.1086/392837
Popis:	In a previous essay I argued that quantum chaos cannot be exhibited in models of quantum systems within von Neumann's mathematical framework for quantum mechanics, and that it can be exhibited in models within Dirac's formal framework. In this essay, the negative thesis concerning von Neumann's framework is elaborated further by extending it to the case of Hamiltonian operators having a continuous spectrum. The positive thesis concerning Dirac's formal framework is also elaborated further by constructing a chaotic model of an open quantum system in which an entropy measure is shown to approach its maximum value as time goes to infinity. Having such an entropy measure is a characteristic that is closely connected to chaotic behavior in phase space models of classical systems.
Databáze:	OpenAIRE
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