Geodesic
Applying the Linblad equation to quantum dissipative systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 148 (2006) no. 2, pp. 288-294

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For quantum systems with linear dissipation, we obtain the representation of the Linblad equation in the canonical form via Hermitian operators. Based on this representation, we derive equations for the entropy density and for the statistical projection operator. We consider the quantum harmonic oscillator with linear dissipation as an example.
Keywords: quantum master equation, entropy density equation, projection operator method. 
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     author = {V. S. Kirchanov},
     title = {Applying the {Linblad} equation to quantum dissipative systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {288--294},
     publisher = {mathdoc},
     volume = {148},
     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2006_148_2_a8/}
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V. S. Kirchanov. Applying the Linblad equation to quantum dissipative systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 148 (2006) no. 2, pp. 288-294. http://geodesic.mathdoc.fr/item/TMF_2006_148_2_a8/