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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 188, Number 1, Pages 49–75
DOI: https://doi.org/10.4213/tmf9026 (Mi tmf9026) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Two-dimensional Coulomb scattering of a quantum particle: Low-energy asymptotic behavior

V. V. Pupyshev

Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
Full-text PDF (683 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf9026
Abstract: We consider a charged quantum particle moving in a two-dimensional plane in the three-dimensional coordinate space and scattering on an immovable Coulomb center in the same plane. We derive and investigate expansions of the wave function and of all radial wave functions of the particle in integer powers of the wave number and in Bessel functions of a real order. We prove that finite sums of such expansions are asymptotic in the low-energy limit.
Keywords: two-dimensional Coulomb scattering, wave function, low-energy asymptotic behavior.
Received: 17.08.2015
Revised: 28.09.2015
English version:
Theoretical and Mathematical Physics, 2016, Volume 188, Issue 1, Pages 1006–1029
DOI: https://doi.org/10.1134/S0040577916070047
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Pupyshev, “Two-dimensional Coulomb scattering of a quantum particle: Low-energy asymptotic behavior”, TMF, 188:1 (2016), 49–75; Theoret. and Math. Phys., 188:1 (2016), 1006–1029
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v188/i1/p49
    • This publication is cited in the following 3 articles:
    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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    References:78
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