Quantum description of Brownian motion in an~external field
Teoretičeskaâ i matematičeskaâ fizika, Tome 27 (1976) no. 2, pp. 270-278

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The classical Langevin equation is used to derive a Schrödinger equation describing Brownian motion in an external field. The approach is exemplified by the exactly solvable problem of the Brownian motion of a quantum oscillator. The influence of fluctuations is considered.
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     author = {I. R. Svin'in},
     title = {Quantum description of {Brownian} motion in an~external field},
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I. R. Svin'in. Quantum description of Brownian motion in an~external field. Teoretičeskaâ i matematičeskaâ fizika, Tome 27 (1976) no. 2, pp. 270-278. http://geodesic.mathdoc.fr/item/TMF_1976_27_2_a16/