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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Enz, C.P. Hamiltonian description and quantization of dissipative systems. Found Phys 24, 1281–1292 (1994). https://doi.org/10.1007/BF02148568
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DOI: https://doi.org/10.1007/BF02148568