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TMF, 1996, Volume 106, Number 2, Pages 300–305 (Mi tmf1115)  

This article is cited in 1 scientific paper (total in 1 paper)

On quantum description of motion with friction

B. A. Arbuzov

Institute for High Energy Physics

Abstract: 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.

DOI: https://doi.org/10.4213/tmf1115

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English version:
Theoretical and Mathematical Physics, 1996, 106:2, 249–253

Bibliographic databases:


Citation: B. A. Arbuzov, “On quantum description of motion with friction”, TMF, 106:2 (1996), 300–305; Theoret. and Math. Phys., 106:2 (1996), 249–253

Citation in format AMSBIB
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\by B.~A.~Arbuzov
\paper On quantum description of motion with friction
\jour TMF
\yr 1996
\vol 106
\issue 2
\pages 300--305
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\crossref{https://doi.org/10.4213/tmf1115}
\zmath{https://zbmath.org/?q=an:0887.45012}
\transl
\jour Theoret. and Math. Phys.
\yr 1996
\vol 106
\issue 2
\pages 249--253
\crossref{https://doi.org/10.1007/BF02071079}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1996VN51500010}


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  • http://mi.mathnet.ru/eng/tmf/v106/i2/p300

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Rosenfelder, R, “Structure function of a damped harmonic oscillator”, Physical Review C, 68:3 (2003), 034602  crossref  mathscinet  adsnasa  isi  scopus  scopus  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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