The nonlinear supersymmetric (SUSY) approach to spectral problems in quantum
mechanics (QM) is reviewed. Its building from the chains (ladders) of linear SUSY systems is …

Starting with the Lagrangian formalism with N= 2 supersymmetry in terms of two Grassmann
variables in Classical Mechanics, the Dirac canonical quantization method is implemented …

A nonlinear (polynomial, N-fold) SUSY approach to preparation of quantum systems with pre-
planned spectral properties is reviewed. The full classification of ladder-reducible and …

A generalized Jaynes-Cummings Hamiltonian and supersymmetric shape invariance Page 1
Journal of Physics A: Mathematical and General A generalized Jaynes-Cummings Hamiltonian …

An application of supersymmetric quantum mechanics to a planar physical system -
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We discuss the explicit construction of the Schrödinger equations admitting a representation
through some family of general polynomials. Almost all solvable quantum potentials are …

We formulate-fold supersymmetry in quantum mechanical matrix models. As an example, we
construct general two-by-two Hermitian matrix two-fold supersymmetric quantum mechanical …

An eigenfunction expansion for the Schrödinger equation for a particle moving in an
arbitrary non-central potential in the cylindrical polar coordinates is introduced, which …

We discuss the explicit construction of the Schrödinger equations admitting representation
through some family of general nonorthogonal polynomials. The specific choice of the third …

A method to construct a non-Dirac–Hermitian supersymmetric quantum system that is
isospectral with a Dirac–Hermitian Hamiltonian is presented. The general technique …