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arXiv · 1101.0793

New Two-Dimensional Quantum Models with Shape Invariance

F. Cannata·M. V. Ioffe·D. N. Nishnianidze
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Abstract

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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F. Cannata, M. V. Ioffe, D. N. Nishnianidze. 2011-01-11. New Two-Dimensional Quantum Models with Shape Invariance. https://doi.org/10.1063/1.3553396

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