Non-integrability and mixing in quantum systems: On the way to quantum chaos |
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| Institution: | 1. CONICET-IAFE, Universidad Nacional de Buenos Aires, Casilla de Correos 67, Sucursal 28, 1428 Buenos Aires, Argentina;2. CONICET-Universidad de Buenos Aires, C. Larralde 3440, 6°D, 1430, Buenos Aires, Argentina;1. Department of Physics, Barkatullah University, Bhopal 462026, India;2. Department of Physics, Govt. M.L.B. Girls P.G. College, Bhopal 462002, India;1. Applied Physics Department, Faculty of Technology and Engineering, M.S. University of Baroda, Vadodara 390 001, India;2. Physical Research Laboratory, Ahmedabad 380 009, India;1. Information Physics Research Center and Department of Applied Physics, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;2. Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;3. National Laboratory of Solid State Microstructures, Nanjing University, Nanjing 210093, China;1. Department of Materials Science and Engineering, McMaster University, 1280 Main Street West, Hamilton, Ontario L8S 4L8, Canada;2. Institute of Materials Chemistry, Vienna University of Technology, Getreidemarkt 9/165-TC, A-1060 Vienna, Austria |
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| Abstract: | In spite of the increasing attention that quantum chaos has received from physicists in recent times, when the subject is considered from a conceptual viewpoint the usual opinion is that there is some kind of conflict between quantum mechanics and chaos. In this paper we follow the program of Belot and Earman, who propose to analyze the problem of quantum chaos as a particular case of the classical limit of quantum mechanics. In particular, we address the problem on the basis of our account of the classical limit, which in turn is grounded on the self-induced approach to decoherence. This strategy allows us to identify the conditions that a quantum system must satisfy to lead to non-integrability and to mixing in the classical limit. |
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