110 citations · 705 across the 38 of their papers we have counts for
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N-fold Supersymmetry in Quantum Systems with Position-dependent Mass
Toshiaki Tanaka
We formulate the framework of N-fold supersymmetry in one-body quantum mechanical systems with position-dependent mass (PDM). We show that some of the significant properties in the…
Simultaneous Ordinary and Type A N-fold Supersymmetries in Schroedinger, Pauli, and Dirac Equations
Choon-Lin Ho, Toshiaki Tanaka
We investigate physical models which possess simultaneous ordinary and type A N-fold supersymmetries, which we call type A (N,1)-fold supersymmetry. Inequivalent type A (N,1)-fold…
Simultaneous Type A N-fold Supersymmetry with Two Different Values of N
Choon-Lin Ho, Toshiaki Tanaka
We investigate one-dimensional quantum mechanical systems which have type A N-fold supersymmetry with two different values of N simultaneously. We find that there are essentially f…
A New Construction of Quasi-solvable Quantum Many-body Systems of Deformed Calogero-Sutherland Type
Toshiaki Tanaka
We make a new multivariate generalization of the type A monomial space of a single variable. It is different from the previously introduced type A space of several variables which…