66 citations · 256 across the 15 of their papers we have counts for
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Parasupersymmetry and N-fold Supersymmetry in Quantum Many-Body Systems II. Third Order
Toshiaki Tanaka
Based on the general formalism of parafermionic algebra and parasupersymmetry proposed previously by us, we explicitly construct third-order parafermionic algebra and multiplicatio…
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…
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…
A Many-body Generalization of Quasi-solvable Models with Type C N-fold Supersymmetry (I) Regular Cases
Toshiaki Tanaka
We make a generalization of the type C monomial space of a single variable, which was introduced in the construction of type C N-fold supersymmetry, to several variables. Then, we…
A Novel Multi-parameter Family of Quantum Systems with Partially Broken N-fold Supersymmetry
Artemio Gonzalez-Lopez, Toshiaki Tanaka
We develop a systematic algorithm for constructing an N-fold supersymmetric system from a given vector space invariant under one of the supercharges. Applying this algorithm to spa…
A New Family of N-fold Supersymmetry: Type B
Artemio Gonzalez-Lopez, Toshiaki Tanaka
We construct a new family of N-fold supersymmetric systems which is referred to as ``type B''. A higher derivative representation of the N-fold supercharge for this new family is g…