David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Philosophy of Science 67 (3):453 (2000)
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
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Massimiliano Sassoli de Bianchi (2013). The Δ-Quantum Machine, the K-Model, and the Non-Ordinary Spatiality of Quantum Entities. Foundations of Science 18 (1):11-41.
Alisa Bokulich (2008). Reexamining the Quantum-Classical Relation: Beyond Reductionism and Pluralism. Cambridge University Press.
Orly R. Shenker (1999). Is - Ktr(Ln) the Entropy in Quantum Mechanics. British Journal for the Philosophy of Science 50 (1):33-48.
J. L. Bell (1986). A New Approach to Quantum Logic. British Journal for the Philosophy of Science 37 (1):83-99.
Eliano Pessa & Giuseppe Vitiello (2003). Quantum Noise, Entanglement and Chaos in the Quantum Field Theory of Mind/Brain States. Mind and Matter 1 (1):59-79.
Jeffrey Koperski (2000). God, Chaos, and the Quantum Dice. Zygon 35 (3):545-559.
Robert Batterman (1992). Quantum Chaos and Semiclassical Mechanics. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1992:50-65.
James T. Cushing (2000). Bohmian Insights Into Quantum Chaos. Philosophy of Science 67 (3):445.
Alisa Bokulich (2003). Horizontal Models: From Bakers to Cats. Philosophy of Science 70 (3):609-627.
Frederick M. Kronz (1998). Nonseparability and Quantum Chaos. Philosophy of Science 65 (1):50-75.
Added to index2009-01-28
Total downloads19 ( #190,009 of 1,792,869 )
Recent downloads (6 months)1 ( #464,728 of 1,792,869 )
How can I increase my downloads?