New Two-Dimensional Quantum Models with Shape Invariance
  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. 
F. Cannata, M.V. Ioffe and D.N. Nishnianidze
hep-th math-ph math.MP quant-ph