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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 207, Number 1, Pages 72–98
DOI: https://doi.org/10.4213/tmf10013 (Mi tmf10013) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Low-energy asymptotics of the phases of two-dimensional scattering of a quantum particle by a central long-range potential

V. V. Pupyshev

Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
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DOI: https://doi.org/10.4213/tmf10013
Abstract: We study the two-dimensional scattering of a quantum particle in the field of a central long-range potential decaying in the limit of a large distance $r$ as a power-law function $r^{-\beta}$ with $\beta>2$. We find the explicit low-energy asymptotic forms of all partial scattering phases of such a particle.
Keywords: two-dimensional scattering, central long-range potential, low-energy asymptotics.
Received: 16.11.2020
Revised: 16.11.2020
English version:
Theoretical and Mathematical Physics, 2021, Volume 207, Issue 1, Pages 459–482
DOI: https://doi.org/10.1134/S004057792104005X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Pupyshev, “Low-energy asymptotics of the phases of two-dimensional scattering of a quantum particle by a central long-range potential”, TMF, 207:1 (2021), 72–98; Theoret. and Math. Phys., 207:1 (2021), 459–482
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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