New two-dimensional quantum models with shape invariance

被引：10

作者：

Cannata, F. ^{[1
]}

Ioffe, M. V. ^{[2
]}

Nishnianidze, D. N. ^{[2
,3
]}

机构：

[1] INFN, I-40126 Bologna, Italy

[2] St Petersburg State Univ, St Petersburg 198504, Russia

[3] Akaki Tsereteli State Univ, GE-4600 Kutaisi, Georgia

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2011年 / 52卷 / 02期

关键词：

SCHRODINGER-EQUATION; SUPERSYMMETRY; SYSTEMS; SUSY; MECHANICS; CALOGERO;

D O I：

10.1063/1.3553396

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Two-dimensional quantum models which obey the property of shape invariance are built in the framework of polynomial two-dimensional supersymmetric quantum mechanics. They are obtained using the expressions for known one-dimensional shape invariant potentials. The constructed Hamiltonians are integrable with symmetry operators of fourth order in momenta, and they are not amenable to the conventional separation of variables. (C) 2011 American Institute of Physics. [doi:10.1063/1.3553396]

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页数：9

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