New two-dimensional quantum models with shape invariance

Journal Article · Tue Feb 15 00:00:00 EST 2011 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3553396· OSTI ID:21501261

Cannata, F ^[1]; Ioffe, M V ^[2]; Nishnianidze, D N ^[2]

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1. INFN, Via Irnerio 46, 40126 Bologna (Italy)
2. Saint-Petersburg State University, 198504 St.-Petersburg (Russian Federation)

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.

• OSTI ID: 21501261
• Journal Information: Journal of Mathematical Physics, Vol. 52, Issue 2; Other Information: DOI: 10.1063/1.3553396; (c) 2011 American Institute of Physics; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
HAMILTONIANS
INTEGRAL CALCULUS
ONE-DIMENSIONAL CALCULATIONS
POLYNOMIALS
POTENTIALS
QUANTUM MECHANICS
SUPERSYMMETRY
TWO-DIMENSIONAL CALCULATIONS
FUNCTIONS
MATHEMATICAL OPERATORS
MATHEMATICS
MECHANICS
QUANTUM OPERATORS
SYMMETRY