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Interacting Quantum and Classical Continuous Systems I. The Piecewise Deterministic Dynamics |
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| Authors: | Blanchard Ph Olkiewicz R |
| Institution: | (1) Physics Faculty and BiBoS, University of Bielefeld, 33615 Bielefeld, Germany;(2) Present address: Institute of Theoretical Physics, University of Wroc aw, PL-50-204 Wrocaw, Poland |
| Abstract: | A mathematical construction of a Markov–Feller process associated with a completely positive coupling between classical and quantum systems is proposed. The example of the free classical particle on the Lobatchevski space Q interacting with the quantum system characterized by coherent states on Q is considered. |
| Keywords: | completely positive coupling dissipative dynamics piecewise deterministic process |
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