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Quantum dissipative systems. I. Canonical quantization and quantum Liouville equation

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Abstract

Sedov's variational principle, which is a generalization of the principle of least action to dissipative processes, is used to generalize canonical quantization and the von Neumann equations to dissipative systems. The example of a harmonic oscillator with friction is considered.

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  1. V. E. Tarasov
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Institute of Nuclear Physics, State University, Moscow. Translated from Teoreticheskaya i Matematicheskaya Fizika Vol. 100, No. 3, pp. 402–417, September, 1994.

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Tarasov, V.E. Quantum dissipative systems. I. Canonical quantization and quantum Liouville equation. Theor Math Phys 100, 1100–1112 (1994). https://doi.org/10.1007/BF01018575

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