Abstract:
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.
Citation:
I. R. Svin'in, “Quantum description of Brownian motion in an external field”, TMF, 27:2 (1976), 270–278; Theoret. and Math. Phys., 27:2 (1976), 478–483