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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 451, Pages 79–115
(Mi znsl6348)
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This article is cited in 9 scientific papers (total in 9 papers)
On continuous spectrum eigenfunctions asymptotic behaviour at infinity in configuration space for the system of three three-dimensional like-charged quantum particles
S. B. Levin St. Petersburg State University, St. Petersburg, Russia
Abstract:
To our knowledge there are no complete results, even not strictly mathematically justified, related to the system of three and more quantum particles, interacting by Coulomb pair potentials, and expressed in terms of eigenfunctions. For the system of three such identical particles we suggest the asymptotic formulas describing the behaviour of eigenfunctions at infinity in configuration space.
Key words and phrases:
three-body quantum scattering problem, eigenfunctions asymptotics, Coulomb pair potentials.
Received: 31.10.2016
Citation:
S. B. Levin, “On continuous spectrum eigenfunctions asymptotic behaviour at infinity in configuration space for the system of three three-dimensional like-charged quantum particles”, Mathematical problems in the theory of wave propagation. Part 46, Zap. Nauchn. Sem. POMI, 451, POMI, St. Petersburg, 2016, 79–115; J. Math. Sci. (N. Y.), 226:6 (2017), 744–767
Linking options:
https://www.mathnet.ru/eng/znsl6348 https://www.mathnet.ru/eng/znsl/v451/p79
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Abstract page: | 256 | Full-text PDF : | 63 | References: | 62 |
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