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

共 50 条

[11] Multi-channel scattering problems: an analytically solvable model
Diwaker
Chakraborty, Aniruddha
MOLECULAR PHYSICS, 2012, 110 (18) : 2257 - 2267
[12] Dynamics of spin and density fluctuations in strongly interacting few-body systems
Barfknecht, Rafael Emilio
Foerster, Angela
Zinner, Nikolaj Thomas
SCIENTIFIC REPORTS, 2019, 9 (1)
[13] The Quasi-Exactly Solvable Problems in Relativistic Quantum Mechanics
Liu Li-Yan
Hao Qing-Hai
COMMUNICATIONS IN THEORETICAL PHYSICS, 2014, 61 (06) : 683 - 685
[14] Renormalization in few-body nuclear physics
Tomio, L
Biswas, R
Delfino, A
Frederico, T
ACTA PHYSICA HUNGARICA NEW SERIES-HEAVY ION PHYSICS, 2002, 16 (1-4): : 27 - 34
[15] Progress Report on Few-Body Hypernuclei
Gal, Avraham
PROCEEDINGS OF THE 15TH INTERNATIONAL CONFERENCE ON MESON-NUCLEON PHYSICS AND THE STRUCTURE OF THE NUCLEON, 2020, 2249
[16] From Few to Many Body Degrees of Freedom
Valiente, Manuel
FEW-BODY SYSTEMS, 2018, 59 (05)
[17] The Quasi-Exactly Solvable Problems for Two Dimensional Quantum Systems
Liu, Liyan
Hou, Chong
Wei, Liqian
MOSCOW UNIVERSITY PHYSICS BULLETIN, 2017, 72 (01) : 36 - 38
[18] Unitary interaction geometries in few-body systems
Contessi, Lorenzo
Kirscher, Johannes
Valderrama, Manuel Pavon
PHYSICAL REVIEW A, 2024, 109 (03)
[19] Few-body integrodifferential equation on Lagrange mesh
Rampho, G. J.
Mabunda, L. C.
Ramantswana, M.
INTERNATIONAL SYMPOSIUM ON NEW DEVELOPMENTS IN METHODS AND APPLICATIONS OF FEW-BODY PHYSICS: IN MEMORY OF PROFESSOR SA SOFIANOS, 2017, 915
[20] Maximal isospin few-body systems of nucleons and Ξ hyperons
Garcilazo, H.
Valcarce, A.
Vijande, J.
PHYSICAL REVIEW C, 2016, 94 (02)

← 1 2 3 4 5 →