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Quantum dissipative systems I.Canonical quantization and quantum Liouville equation

V. E. Tarasov

Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University

Abstract: Sedov variational principle, which is the generalization of the least actional principle for dissipative processes, is used to generalize the canonical quantization and von Neumann equation for dissipative systems. An example of the harmonic oscillator with friction is considered.

Received: 25.05.1993

 English version: Theoretical and Mathematical Physics, 1994, 100:3, 1100–1112

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