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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 203, Number 2, Pages 280–299
DOI: https://doi.org/10.4213/tmf9842 (Mi tmf9842) 		 
Two-dimensional low-energy scattering of a quantum particle in the summed field of Coulomb and power-law potentials

V. V. Pupyshev

Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
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DOI: https://doi.org/10.4213/tmf9842
Abstract: We study the two-dimensional scattering of a quantum particle by the force center acting on this particle via a superposition of a Coulomb potential and a power-law potential $V_0\,r^{-\beta}$ with the exponent $\beta\in (1,2)$. We find the explicit low-energy asymptotic forms of all partial phases and scattering amplitudes.
Keywords: two-dimensional scattering, superposition of the Coulomb potential and a power-law potential, low-energy asymptotics.
Received: 31.10.2019
Revised: 15.11.2019
English version:
Theoretical and Mathematical Physics, 2020, Volume 203, Issue 2, Pages 673–690
DOI: https://doi.org/10.1134/S0040577920050098
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Pupyshev, “Two-dimensional low-energy scattering of a quantum particle in the summed field of Coulomb and power-law potentials”, TMF, 203:2 (2020), 280–299; Theoret. and Math. Phys., 203:2 (2020), 673–690
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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