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Numerical construction of the continuous spectrum Eigenfunctions of the three body Schrödinger operator : Three particles on the axis with short-range pair potentials. / Buslaev, V. S.; Koptelov, Ya Yu; Levin, S. B.; Strygina, D. A.

In: Physics of Atomic Nuclei, Vol. 76, No. 2, 2013, p. 208-218.

Research output: Contribution to journal › Article › peer-review

Harvard

Buslaev, VS, Koptelov, YY, Levin, SB & Strygina, DA 2013, 'Numerical construction of the continuous spectrum Eigenfunctions of the three body Schrödinger operator: Three particles on the axis with short-range pair potentials', Physics of Atomic Nuclei, vol. 76, no. 2, pp. 208-218. https://doi.org/10.1134/S1063778813010043, https://doi.org/10.1134/S1063778813010043

APA

Buslaev, V. S., Koptelov, Y. Y., Levin, S. B., & Strygina, D. A. (2013). Numerical construction of the continuous spectrum Eigenfunctions of the three body Schrödinger operator: Three particles on the axis with short-range pair potentials. Physics of Atomic Nuclei, 76(2), 208-218. https://doi.org/10.1134/S1063778813010043, https://doi.org/10.1134/S1063778813010043

Vancouver

Buslaev VS, Koptelov YY, Levin SB, Strygina DA. Numerical construction of the continuous spectrum Eigenfunctions of the three body Schrödinger operator: Three particles on the axis with short-range pair potentials. Physics of Atomic Nuclei. 2013;76(2):208-218. https://doi.org/10.1134/S1063778813010043, https://doi.org/10.1134/S1063778813010043

Author

Buslaev, V. S. ; Koptelov, Ya Yu ; Levin, S. B. ; Strygina, D. A. / Numerical construction of the continuous spectrum Eigenfunctions of the three body Schrödinger operator : Three particles on the axis with short-range pair potentials. In: Physics of Atomic Nuclei. 2013 ; Vol. 76, No. 2. pp. 208-218.

BibTeX

@article{fe629a91971340f19e7855249c19d35b,
title = "Numerical construction of the continuous spectrum Eigenfunctions of the three body Schr{\"o}dinger operator: Three particles on the axis with short-range pair potentials",
abstract = "Based on a new method of the numerical construction of the three-body Schr{\"o}dinger operator continuous spectrum eigenfunctions an analysis of the solutions of the problem of three identical particles on the axis with quickly decreasing repulsive pair potentials is offered. The initial problem is reduced to solving an inhomogeneous boundary problem for an elliptical partial differential equation in a twodimensional domain as a circle with radiation boundary conditions, with a ray approximation of the solution with diffraction corrections, contributing to a smoothness of a solution sought, being used. The approach offered allows a natural generalization for a case of slowly decreasing potentials of the Coulomb type and higher configuration space dimensions.",
author = "Buslaev, {V. S.} and Koptelov, {Ya Yu} and Levin, {S. B.} and Strygina, {D. A.}",
note = "Funding Information: The authors thank V.B. Belyaev and S.I. Vinitsky for helpful and interested discussions. The work has been partly supported by RFFI within the framework of the grant no. 08-01-00209.",
year = "2013",
doi = "10.1134/S1063778813010043",
language = "English",
volume = "76",
pages = "208--218",
journal = "Physics of Atomic Nuclei",
issn = "1063-7788",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "2",

}

RIS

TY - JOUR

T1 - Numerical construction of the continuous spectrum Eigenfunctions of the three body Schrödinger operator

T2 - Three particles on the axis with short-range pair potentials

AU - Buslaev, V. S.

AU - Koptelov, Ya Yu

AU - Levin, S. B.

AU - Strygina, D. A.

N1 - Funding Information: The authors thank V.B. Belyaev and S.I. Vinitsky for helpful and interested discussions. The work has been partly supported by RFFI within the framework of the grant no. 08-01-00209.

PY - 2013

Y1 - 2013

N2 - Based on a new method of the numerical construction of the three-body Schrödinger operator continuous spectrum eigenfunctions an analysis of the solutions of the problem of three identical particles on the axis with quickly decreasing repulsive pair potentials is offered. The initial problem is reduced to solving an inhomogeneous boundary problem for an elliptical partial differential equation in a twodimensional domain as a circle with radiation boundary conditions, with a ray approximation of the solution with diffraction corrections, contributing to a smoothness of a solution sought, being used. The approach offered allows a natural generalization for a case of slowly decreasing potentials of the Coulomb type and higher configuration space dimensions.

AB - Based on a new method of the numerical construction of the three-body Schrödinger operator continuous spectrum eigenfunctions an analysis of the solutions of the problem of three identical particles on the axis with quickly decreasing repulsive pair potentials is offered. The initial problem is reduced to solving an inhomogeneous boundary problem for an elliptical partial differential equation in a twodimensional domain as a circle with radiation boundary conditions, with a ray approximation of the solution with diffraction corrections, contributing to a smoothness of a solution sought, being used. The approach offered allows a natural generalization for a case of slowly decreasing potentials of the Coulomb type and higher configuration space dimensions.

UR - http://www.scopus.com/inward/record.url?scp=84874279532&partnerID=8YFLogxK

U2 - 10.1134/S1063778813010043

DO - 10.1134/S1063778813010043

M3 - Article

VL - 76

SP - 208

EP - 218

JO - Physics of Atomic Nuclei

JF - Physics of Atomic Nuclei

SN - 1063-7788

IS - 2

ER -

ID: 7407678