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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 199, Number 3, Pages 405–428
DOI: https://doi.org/10.4213/tmf9636 (Mi tmf9636) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Two-dimensional motion of a slow quantum particle in the field of a central long-range potential

V. V. Pupyshev

Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
Full-text PDF (598 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf9636
Abstract: We study the two-dimensional motion of a slow quantum particle in the field of a central long-range potential decaying in the limit of long distances $r$ as the power $r^{-\beta}$ with the exponent $\beta\in(1,2)$. We find the low-temperature asymptotic behavior for all partial phases and the differential cross section of the particle scattering and derive a rather simple approximation for the weakly bound state energy.
Keywords: two-dimensional scattering, central long-range potential, low-energy asymptotics, weakly bound state energy.
Received: 01.10.2018
Revised: 18.12.2018
English version:
Theoretical and Mathematical Physics, 2019, Volume 199, Issue 3, Pages 828–848
DOI: https://doi.org/10.1134/S0040577919060059
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Pupyshev, “Two-dimensional motion of a slow quantum particle in the field of a central long-range potential”, TMF, 199:3 (2019), 405–428; Theoret. and Math. Phys., 199:3 (2019), 828–848
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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