110 citations · 705 across the 38 of their papers we have counts for
38 papers
Construction of Quasi-solvable Quantum Mechanical Matrix Models: Lie Superalgebra v.s. N-fold Supersymmetry
Toshiaki Tanaka
We construct quasi-solvable quantum mechanical matrix models by employing two different methods, the one is universal enveloping algebra of Lie superalgebra and the other is N-fold…
GL(3,C) Invariance of Type B 3-fold Supersymmetric Systems
Toshiaki Tanaka
Type B 3-fold supersymmetry is a necessary and sufficient condition for a quantum Hamiltonian to admit three linearly independent local solutions in closed form. We show that any s…
Type B 3-fold Supersymmetry and Non-polynomial Invariant Subspaces
Toshiaki Tanaka
We obtain the most general type B 3-fold supersymmetry by solving directly the intertwining relation. We then show that it is a necessary and sufficient condition for a second-orde…
Effect of Position-dependent Mass on Dynamical Breaking of Type B and Type X_2 N-fold Supersymmetry
Bikashkali Midya, Barnana Roy, Toshiaki Tanaka
We investigate effect of position-dependent mass profiles on dynamical breaking of N-fold supersymmetry in several type B and type X_2 models. We find that N-fold supersymmetry in…
Two-step Shape Invariance in the Framework of N-fold Supersymmetry
Barnana Roy, Toshiaki Tanaka
We extensively investigate two-step shape invariance in the framework of N-fold supersymmetry. We first show that any two-step shape-invariant system possesses type A 2-fold supers…
N-fold Supersymmetric Quantum Mechanics with Reflections
Toshiaki Tanaka
We formulate N-fold supersymmetry in quantum mechanical systems with reflection operators. As in the cases of other systems, they possess the two significant characters of N-fold s…