Geodesic
Quantum description of Brownian motion in an external field
Teoretičeskaâ i matematičeskaâ fizika, Tome 27 (1976) no. 2, pp. 270-278 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@article{TMF_1976_27_2_a16,
     author = {I. R. Svin'in},
     title = {Quantum description of {Brownian} motion in an~external field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {270--278},
     year = {1976},
     volume = {27},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1976_27_2_a16/}
}
TY  - JOUR
AU  - I. R. Svin'in
TI  - Quantum description of Brownian motion in an external field
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1976
SP  - 270
EP  - 278
VL  - 27
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1976_27_2_a16/
LA  - ru
ID  - TMF_1976_27_2_a16
ER  - 
%0 Journal Article
%A I. R. Svin'in
%T Quantum description of Brownian motion in an external field
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1976
%P 270-278
%V 27
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1976_27_2_a16/
%G ru
%F TMF_1976_27_2_a16
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/

[1] I. R. Svinin, TMF, 22 (1975), 107

[2] E, H. Kerner, Can. J. Phys., 36 (1958), 371 | DOI | Zbl

[3] P. Langevin, C. R. Acad. Sci., 146 (1908), 530 | Zbl

[4] S. Chandrasekhar, Rev. Mod. Phys., 15 (1943), 1 | DOI | MR | Zbl

[5] M. D. Kostin, J. Chem. Phys., 57 (1972), 3589 | DOI

[6] J. H. Weiner, R. E. Forman, Phys. Rev., B10 (1974), 325 | DOI

[7] G. J. Papadopoulos, J. Phys., A6 (1973), 1479 | MR

[8] K. Husimi, Progr. Theor. Phys., 9 (1953), 381 | DOI | MR | Zbl

[9] L. D. Landau, E. M. Lifshits, Statisticheskaya fizika, «Nauka», 1964 | Zbl

[10] H. A. Kramers, Physica, 7 (1940), 284 | DOI | MR | Zbl

[11] V. M. Strutinskii, YaF, 19 (1974), 259