Geodesic
On quantum description of motion with friction
Teoretičeskaâ i matematičeskaâ fizika, Tome 106 (1996) no. 2, pp. 300-305

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AЁmethod of quantum description of motion in a dissipative system is considered. One-dimensional problem is described by a nonlinear integro-differential generalization of the Schrödinger equation. The case of free motion with friction is solved exactly. The problem with the infinite-wall potential is considered and an approximate solution is obtained. The solution provides an example of a system with friction with time dependent parameters, expired from the moment of its production. This effect can be tentatively applied for an interpretation of experimental indications on a time dependence of hadron effective cross-sections. 
@article{TMF_1996_106_2_a9,
     author = {B. A. Arbuzov},
     title = {On quantum description of motion with friction},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {300--305},
     publisher = {mathdoc},
     volume = {106},
     number = {2},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1996_106_2_a9/}
}
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B. A. Arbuzov. On quantum description of motion with friction. Teoretičeskaâ i matematičeskaâ fizika, Tome 106 (1996) no. 2, pp. 300-305. http://geodesic.mathdoc.fr/item/TMF_1996_106_2_a9/