A. S. Bagmutov, S. B. Levin, V. O. Toropov, “Model of an effective separable potential in the problem of three one-dimensional quantum particles”, Mathematical problems in the theory of wave propagation. Part 54, Zap. Nauchn. Sem. POMI, 533, POMI, St. Petersburg, 2024, 15

Zapiski Nauchnykh Seminarov POMI

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Zapiski Nauchnykh Seminarov POMI, 2024, Volume 533, Pages 15–43 (Mi znsl7464)

Model of an effective separable potential in the problem of three one-dimensional quantum particles

A. S. Bagmutov^ab, S. B. Levin^ca, V. O. Toropov^ac

^a Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg
^b St. Petersburg Institute of Precision Mechanics and Optics
^c Saint Petersburg State University

Full-text PDF (986 kB)

References:

PDF

HTML

Abstract: Bagmutov A. S., Levin S. B., Toropov B. O. Model of an effective separable potential in the problem of three one-dimensional quantum particles. In this paper, we construct an effective model for studying the asymptotic solution of the scattering problem of three one-dimensional quantum particles with finite (short-range) attractive pair potentials that support bound states. The asymptotic nature of the solution is determined by the rapid decrease of its residual in the Schr?dinger equation.

Key words and phrases: quantum three-body problem, one-dimensional particles, finite pair, attractive potentials, effective separable potentials.

Funding agency	Grant number
Russian Science Foundation	22-11-00046

Received: 02.09.2024

Document Type: Article

UDC: 517

Language: Russian

Citation: A. S. Bagmutov, S. B. Levin, V. O. Toropov, “Model of an effective separable potential in the problem of three one-dimensional quantum particles”, Mathematical problems in the theory of wave propagation. Part 54, Zap. Nauchn. Sem. POMI, 533, POMI, St. Petersburg, 2024, 15–43

Citation in format AMSBIB

\Bibitem{BagLevTor24}

\by A.~S.~Bagmutov, S.~B.~Levin, V.~O.~Toropov

\paper Model of an effective separable potential in the problem of three one-dimensional quantum particles

\inbook Mathematical problems in the theory of wave propagation. Part~54

\serial Zap. Nauchn. Sem. POMI

\yr 2024

\vol 533

\pages 15--43

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl7464}

Linking options:

https://www.mathnet.ru/eng/znsl7464

https://www.mathnet.ru/eng/znsl/v533/p15

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	57
Full-text PDF :	36
References:	17

Registration to the website

Logotypes