New two-dimensional quantum models with shape invariance

作者:Cannata F*; Ioffe M V; Nishnianidze D N
来源:Journal of Mathematical Physics, 2011, 52(2): 022106.
DOI:10.1063/1.3553396

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.

  • 出版日期2011-2