On the Supersymmetric Spectra of two Planar Integrable Quantum Systems

被引：3

作者：

Gonzalez Leon, M. A. ^{[1
,2
]}

Mateos Guilarte, J. ^{[2
,3
]}

Senosiain, M. J. ^{[2
,3
]}

de la Torre Mayado, M. ^{[4
]}

机构：

[1] Univ Salamanca, Dept Matemat Aplicada, Salamanca, Spain

[2] Univ Salamanca, IUFFyM, Salamanca, Spain

[3] Univ Salamanca, Dept Fis, Salamanca, Spain

[4] Univ Salamanca, Dept Matemat, Salamanca, Spain

来源：

ALGEBRAIC ASPECTS OF DARBOUX TRANSFORMATIONS, QUANTUM INTEGRABLE SYSTEMS AND SUPERSYMMETRIC QUANTUM MECHANICS | 2012年 / 563卷

关键词：

Supersymmetric quantum mechanics; One Coulombian center of force; Two Coulombian centers of force; Schrodinger equation separability; Razavy and Whittaker-Hill equations; CLASSICAL MECHANICS; ORTHOGONAL POLYNOMIALS; SCHRODINGER-EQUATION; MODELS; POTENTIALS; SEPARATION; VARIABLES; BREAKING; CENTERS;

D O I：

10.1090/conm/563/11165

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Two planar supersymmetric quantum mechanical systems built around the quantum integrable Kepler/Coulomb and Euler/Coulomb problems are analyzed in depth. The supersymmetric spectra of both systems are unveiled, profiting from symmetry operators not related to invariance with respect to rotations. It is shown analytically how the first problem arises at the limit of zero distance between the centers of the second problem. It appears that the supersymmetric modified Euler/Coulomb problem is a quasi-isospectral deformation of the supersymmetric Kepler/Coulomb problem.

引用

页码：73 / +

页数：4

共 50 条

[21] Two-photon spectra of quantum systems
del Valle, E.
Gonzalez-Tudela, A.
Laussy, F. P.
Tejedor, C.
Hartmann, M. J.
2013 CONFERENCE ON LASERS AND ELECTRO-OPTICS EUROPE AND INTERNATIONAL QUANTUM ELECTRONICS CONFERENCE (CLEO EUROPE/IQEC), 2013,
[22] Supersymmetric biorthogonal quantum systems
Curtright, Thomas
Mezincescu, Luca
Schuster, David
JOURNAL OF MATHEMATICAL PHYSICS, 2007, 48 (09)
[23] Admittance of planar two-terminal quantum systems
Wulf, U.
Racec, P. N.
Racec, E. R.
PHYSICAL REVIEW B, 2007, 75 (07):
[24] Integrable quantum Stackel systems
Blaszak, Maciej
Domanski, Ziemowit
Sergyeyev, Artur
Szablikowski, Blazej M.
PHYSICS LETTERS A, 2013, 377 (38) : 2564 - 2572
[25] Integrable Systems and Quantum Deformations
Koroteev, Peter
Beisert, Niklas
INTERSECTIONS OF PARTICLE AND NUCLEAR PHYSICS, 2009, 1182 : 513 - +
[26] Quantum monodromy in integrable systems
Ngoc, SV
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1999, 203 (02) : 465 - 479
[27] Topics in quantum integrable systems
Hikami, K
Wadati, M
JOURNAL OF MATHEMATICAL PHYSICS, 2003, 44 (08) : 3569 - 3594
[28] Quantum Monodromy in Integrable Systems
San Vũ Ngoc
Communications in Mathematical Physics, 1999, 203 : 465 - 479
[29] Integrable systems and quantum groups
Roditi, I
BRAZILIAN JOURNAL OF PHYSICS, 2000, 30 (02) : 357 - 361
[30] Applications of quantum integrable systems
Castro-Alvaredo, OA
Fring, A
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2004, 19 : 92 - 116

← 1 2 3 4 5 →