Standard

Uniform asymptotics of eigenfunctions for the three-body Schrödinger operator in one-dimensional case. / Buslaev, V. S.; Levin, S. B.

Quantum Few-Body Systems - Proceedings of the Joint Physics/Mathematics Workshop on Quantum Few-Body Systems. 2008. p. 101-112 (AIP Conference Proceedings; Vol. 998).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Harvard

Buslaev, VS & Levin, SB 2008, Uniform asymptotics of eigenfunctions for the three-body Schrödinger operator in one-dimensional case. in Quantum Few-Body Systems - Proceedings of the Joint Physics/Mathematics Workshop on Quantum Few-Body Systems. AIP Conference Proceedings, vol. 998, pp. 101-112, Joint Physics/Mathematics Workshop on Quantum Few‐Body Systems, Aarhus, Denmark, 19/03/07. https://doi.org/10.1063/1.2915630

APA

Buslaev, V. S., & Levin, S. B. (2008). Uniform asymptotics of eigenfunctions for the three-body Schrödinger operator in one-dimensional case. In Quantum Few-Body Systems - Proceedings of the Joint Physics/Mathematics Workshop on Quantum Few-Body Systems (pp. 101-112). (AIP Conference Proceedings; Vol. 998). https://doi.org/10.1063/1.2915630

Vancouver

Buslaev VS, Levin SB. Uniform asymptotics of eigenfunctions for the three-body Schrödinger operator in one-dimensional case. In Quantum Few-Body Systems - Proceedings of the Joint Physics/Mathematics Workshop on Quantum Few-Body Systems. 2008. p. 101-112. (AIP Conference Proceedings). https://doi.org/10.1063/1.2915630

Author

Buslaev, V. S. ; Levin, S. B. / Uniform asymptotics of eigenfunctions for the three-body Schrödinger operator in one-dimensional case. Quantum Few-Body Systems - Proceedings of the Joint Physics/Mathematics Workshop on Quantum Few-Body Systems. 2008. pp. 101-112 (AIP Conference Proceedings).

BibTeX

@inproceedings{fcc8c63145ee436ca32197cd01cad084,
title = "Uniform asymptotics of eigenfunctions for the three-body Schr{\"o}dinger operator in one-dimensional case",
abstract = "The three-body scattering problem with finite pair potentials for one-dimensional case is investigated. The asymptotic function χ0, which satisfies the three-body Schr{\"o}dinger equation in whole configuration space outside of compact domain Ω., where the supports of all three pair potentials cross each other, has been presented in a mathematically rigorous way. For large distances |x| → ∞ the function Xo determines the asymptotics of the solution up to the circular wave with smooth coefficient in whole configuration space. The method is based on analogies between fewbody scattering problem and diffraction one of the plane wave on the system of half-transparent infinite screens. Presented here formalism are believed to be useful also for the few-body scattering problem of higher dimensions.",
keywords = "Diffraction problem, Three-body scattering problem, Uniform asymptotics",
author = "Buslaev, {V. S.} and Levin, {S. B.}",
year = "2008",
doi = "10.1063/1.2915630",
language = "English",
isbn = "9780735405172",
series = "AIP Conference Proceedings",
pages = "101--112",
booktitle = "Quantum Few-Body Systems - Proceedings of the Joint Physics/Mathematics Workshop on Quantum Few-Body Systems",
note = "Joint Physics/Mathematics Workshop on Quantum Few‐Body Systems ; Conference date: 19-03-2007 Through 20-03-2007",

}

RIS

TY - GEN

T1 - Uniform asymptotics of eigenfunctions for the three-body Schrödinger operator in one-dimensional case

AU - Buslaev, V. S.

AU - Levin, S. B.

PY - 2008

Y1 - 2008

N2 - The three-body scattering problem with finite pair potentials for one-dimensional case is investigated. The asymptotic function χ0, which satisfies the three-body Schrödinger equation in whole configuration space outside of compact domain Ω., where the supports of all three pair potentials cross each other, has been presented in a mathematically rigorous way. For large distances |x| → ∞ the function Xo determines the asymptotics of the solution up to the circular wave with smooth coefficient in whole configuration space. The method is based on analogies between fewbody scattering problem and diffraction one of the plane wave on the system of half-transparent infinite screens. Presented here formalism are believed to be useful also for the few-body scattering problem of higher dimensions.

AB - The three-body scattering problem with finite pair potentials for one-dimensional case is investigated. The asymptotic function χ0, which satisfies the three-body Schrödinger equation in whole configuration space outside of compact domain Ω., where the supports of all three pair potentials cross each other, has been presented in a mathematically rigorous way. For large distances |x| → ∞ the function Xo determines the asymptotics of the solution up to the circular wave with smooth coefficient in whole configuration space. The method is based on analogies between fewbody scattering problem and diffraction one of the plane wave on the system of half-transparent infinite screens. Presented here formalism are believed to be useful also for the few-body scattering problem of higher dimensions.

KW - Diffraction problem

KW - Three-body scattering problem

KW - Uniform asymptotics

UR - http://www.scopus.com/inward/record.url?scp=43649107250&partnerID=8YFLogxK

U2 - 10.1063/1.2915630

DO - 10.1063/1.2915630

M3 - Conference contribution

AN - SCOPUS:43649107250

SN - 9780735405172

T3 - AIP Conference Proceedings

SP - 101

EP - 112

BT - Quantum Few-Body Systems - Proceedings of the Joint Physics/Mathematics Workshop on Quantum Few-Body Systems

T2 - Joint Physics/Mathematics Workshop on Quantum Few‐Body Systems

Y2 - 19 March 2007 through 20 March 2007

ER -

ID: 88561634