New Two-Dimensional Quantum Models with Shape Invariance

Details New Two-Dimensional Quantum Models with Shape Invariance New Two-Dimensional Quantum Models with Shape Invariance

2011-01-04

arxiv.org/abs/1101.0793v2

J.Math.Phys.52:022106,2011

Physics

High Energy Physics

High Energy Physics - Theory

16 p.p., a few new references added

Scientific paper

Two-dimensional quantum models which obey the property of shape invariance are built in the framework of polynomial two-dimensional SUSY 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.

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