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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 186, Number 1, Pages 164–176
DOI: https://doi.org/10.4213/tmf8976
(Mi tmf8976)
 

Asymptotic behavior of the wave function of a system of several particles with pair interactions increasing at infinity

E. A. Yarevskii

Saint Petersburg State University, Saint Petersburg, Russia
References:
Abstract: We construct an asymptotic representation of the wave functions of systems of two and three quantum particles with pair interactions increasing at infinity. We consider three-particle systems on the line and in the three-dimensional space. The eikonal and transport equations used to construct the asymptotic representation differ significantly from the corresponding equations in the case of decreasing potentials. We study the solution of the nonlinear eikonal equation in detail.
Keywords: confinement, eikonal equation, asymptotic behavior of wave function.
English version:
Theoretical and Mathematical Physics, 2016, Volume 186, Issue 1, Pages 136–146
DOI: https://doi.org/10.1134/S0040577916010128
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. A. Yarevskii, “Asymptotic behavior of the wave function of a system of several particles with pair interactions increasing at infinity”, TMF, 186:1 (2016), 164–176; Theoret. and Math. Phys., 186:1 (2016), 136–146
Citation in format AMSBIB
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\paper Asymptotic behavior of the~wave function of a~system of several particles with pair interactions increasing at infinity
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\pages 136--146
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  • https://www.mathnet.ru/eng/tmf8976
  • https://doi.org/10.4213/tmf8976
  • https://www.mathnet.ru/eng/tmf/v186/i1/p164
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:58
    First page:29
     
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