A study of new solvable few body problems

被引：8

作者：

Bachkhaznadji, A. ^{[1
]}

Lassaut, M. ^{[2
]}

Lombard, R. J. ^{[2
]}

机构：

[1] Univ Mentouri, Dept Phys, Phys Theor Lab, Constantine, Algeria

[2] Univ Paris 11, Inst Phys Nucl, CNRS, Grp Phys Theor,UMR8608, F-91406 Orsay, France

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2009年 / 42卷 / 06期

关键词：

ONE-DIMENSION; 3-BODY INTERACTION; CALOGERO TYPE; POTENTIALS; MODEL; RENORMALIZATION;

D O I：

10.1088/1751-8113/42/6/065301

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study new solvable few body problems consisting of generalizations of the Calogero and the Calogero-Marchioro-Wolfes three-body problems, by introducing non-translationally invariant three-body potentials. After separating the radial and angular variables by appropriate coordinate transformations, we provide eigensolutions of the Schrodinger equation with the corresponding energy spectrum. We found a domain of the coupling constant for which the irregular solutions are square integrable.

引用

页数：14

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