Two-dimensional supersymmetric quantum mechanics and the Moutard transformations
This is a treatise on a two-dimensional supersymmetric hamiltonian H whose components consists of two scalar (h0, h1) and one matrix-valued hml quantum-mechanical Hamiltonians with constant terms added to the mix. In particular, the article discusses the ways to utilize a known solution of the spectral problem for operator h0 in the multi-dimensional generalization of the factorization method in order to pro-duce such hml and h1 that their ground-state eigenvalues will be identical...