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Hamiltonian description and quantization of dissipative systems

Published in Foundations of Physics. 1994, vol. 24, no. 9, p. 1281-1292
Abstract Dissipative systems are described by a Hamiltonian, combined with a “dynamical matrix” which generalizes the simplectic form of the equations of motion. Criteria for dissipation are given and the examples of a particle with friction and of the Lotka-Volterra model are presented. Quantization is first introduced by translating generalized Poisson brackets into commutators and anticommutators. Then a generalized Schrödinger equation expressed by a dynamical matrix is constructed and discussed.
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Other version: http://link.springer.com/10.1007/BF02148568
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ENZ, Charles P. Hamiltonian description and quantization of dissipative systems. In: Foundations of Physics, 1994, vol. 24, n° 9, p. 1281-1292. https://archive-ouverte.unige.ch/unige:92685

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Deposited on : 2017-03-20

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