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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 461, Pages 65–94
(Mi znsl6481)
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This article is cited in 3 scientific papers (total in 3 papers)
Some aspects of the scattering problem for the system of three charged particles
A. M. Budylin, Ya. U. Koptelov, S. B. Levin St. Petersburg State University, St. Petersburg, Russia
Abstract:
The influence aspects of the spectral vicinity accumulation point of pair subsystem bound energies on the Hamiltonian continuous spectrum eigenfunctions structure of three charged particles system is discussed. The cumulative contribution of pair highly excited states is separated in the coordinate asymptotics of these functions.
Key words and phrases:
three-body quantum scattering problem, Coulomb pair potentials, discrete spectrum accumulation point, asymptotics of eigenfunctions.
Received: 30.10.2017
Citation:
A. M. Budylin, Ya. U. Koptelov, S. B. Levin, “Some aspects of the scattering problem for the system of three charged particles”, Mathematical problems in the theory of wave propagation. Part 47, Zap. Nauchn. Sem. POMI, 461, POMI, St. Petersburg, 2017, 65–94; J. Math. Sci. (N. Y.), 238:5 (2019), 601–620
Linking options:
https://www.mathnet.ru/eng/znsl6481 https://www.mathnet.ru/eng/znsl/v461/p65
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Abstract page: | 279 | Full-text PDF : | 77 | References: | 49 |
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