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Teoreticheskaya i Matematicheskaya Fizika, 1996, Volume 106, Number 2, Pages 300–305
DOI: https://doi.org/10.4213/tmf1115 (Mi tmf1115) 		 
This article is cited in 9 scientific papers (total in 9 papers)

On quantum description of motion with friction

B. A. Arbuzov

Institute for High Energy Physics
Full-text PDF (159 kB) Citations (9)
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DOI: https://doi.org/10.4213/tmf1115
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.
English version:
Theoretical and Mathematical Physics, 1996, Volume 106, Issue 2, Pages 249–253
DOI: https://doi.org/10.1007/BF02071079
Bibliographic databases:
Language: Russian
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
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\pages 300--305
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\crossref{https://doi.org/10.4213/tmf1115}
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\transl
\jour Theoret. and Math. Phys.
\yr 1996
\vol 106
\issue 2
\pages 249--253
\crossref{https://doi.org/10.1007/BF02071079}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996VN51500010}
Linking options:
  • https://www.mathnet.ru/eng/tmf1115
  • https://doi.org/10.4213/tmf1115
  • https://www.mathnet.ru/eng/tmf/v106/i2/p300
    • This publication is cited in the following 9 articles:
    1. S V Sazonov, “Axiomatic quasi-classical quantization of particle motion in the dissipative media”, Laser Phys. Lett., 21:6 (2024), 065205  crossref
    2. S V Sazonov, “Quasi-classical motion of a particle in a bulk dissipative medium”, Laser Phys. Lett., 21:1 (2024), 015202  crossref
    3. S V Sazonov, “Non-stationary quasi-classical states of a charged particle in a strong magnetic field under conditions of the dissipative medium”, Laser Phys. Lett., 21:3 (2024), 035201  crossref
    4. S V Sazonov, “Quasi-classical dynamics of a charged particle under conditions of ionization losses in a weak magnetic field”, Laser Phys. Lett., 21:4 (2024), 045203  crossref
    5. S V Sazonov, “Quasi-classical theory of cyclotron resonance with accounting for dissipation”, Laser Phys. Lett., 21:5 (2024), 055203  crossref
    6. S. V. Sazonov, “SAMOSOGLASOVANNYY KVAZIKLASSIChESKIY PODKhOD K OPISANIYu DVIZhENIYa ChASTITsY V DISSIPATIVNOY SREDE”, Žurnal èksperimentalʹnoj i teoretičeskoj fiziki, 166:2(8) (2024)  crossref
    7. S. V. Sazonov, “Quasiclassical quantization of the motion of a particle in the presence of a drag force proportional to the square of the velocity”, JETP Letters, 118:4 (2023), 302–308  mathnet  crossref  crossref
    8. Vasily E. Tarasov, Monograph Series on Nonlinear Science and Complexity, 7, Quantum Mechanics of Non-Hamiltonian and Dissipative Systems, 2008, 521  crossref
    9. Rosenfelder, R, “Structure function of a damped harmonic oscillator”, Physical Review C, 68:3 (2003), 034602  crossref  mathscinet  adsnasa  isi  scopus  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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