Geodesic
Quantum dissipative systems~I.Canonical quantization and quantum Liouville equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 100 (1994) no. 3, pp. 402-417

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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. 
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     author = {V. E. Tarasov},
     title = {Quantum dissipative {systems~I.Canonical} quantization and quantum {Liouville} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {3},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1994_100_3_a7/}
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V. E. Tarasov. Quantum dissipative systems~I.Canonical quantization and quantum Liouville equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 100 (1994) no. 3, pp. 402-417. http://geodesic.mathdoc.fr/item/TMF_1994_100_3_a7/