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Zapiski Nauchnykh Seminarov POMI, 2023, Volume 521, Pages 59–78
(Mi znsl7324)
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This article is cited in 1 scientific paper (total in 1 paper)
On the main term of the asymptotics of the problem of few charged particles in the presence of bound states
A. M. Budylin, S. B. Levin Saint Petersburg State University
Abstract:
In the present paper, we obtained the results that generalize the BBK-approximation, well known in the physical literature, in a situation where particles in subsystems can approach each other. The results obtained allow one to describe the asymptotics of a few-body Coulomb system ($N=3.4$) in the case when the subsystem is in a state of continuous spectrum, as well as in the case when the subsystem (two or three particles) is in a bound state.
Key words and phrases:
few-body quantum systems, Coulomb pair potentials, bound states in subsystems, continuous spectrum eigenfunctions asymptotics.
Received: 01.10.2023
Citation:
A. M. Budylin, S. B. Levin, “On the main term of the asymptotics of the problem of few charged particles in the presence of bound states”, Mathematical problems in the theory of wave propagation. Part 53, Zap. Nauchn. Sem. POMI, 521, POMI, St. Petersburg, 2023, 59–78
Linking options:
https://www.mathnet.ru/eng/znsl7324 https://www.mathnet.ru/eng/znsl/v521/p59
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Abstract page: | 54 | Full-text PDF : | 27 | References: | 22 |
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