204 citations · 1.1k across the 47 of their papers we have counts for
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N-fold Supersymmetry in Quantum Mechanics - General Formalism -
Hideaki Aoyama, Masatoshi Sato, Toshiaki Tanaka
We report general properties of N-fold supersymmetry in one-dimensional quantum mechanics. N-fold supersymmetry is characterized by supercharges which are N-th polynomials of momen…
General Forms of a N-fold Supersymmetric Family
Hideaki Aoyama, Masatoshi Sato, Toshiaki Tanaka
We report general forms of one family of the N-fold supersymmetry in one-dimensional quantum mechanics. The N-fold supersymmetry is characterized by the supercharges which are N-th…
N-fold Supersymmetry for a Periodic Potential
Hideaki Aoyama, Masatoshi Sato, Toshiaki Tanaka +1
We report a new type of supersymmetry, "N-fold supersymmetry", in one-dimensional quantum mechanics. Its supercharges are N-th order polynomials of momentum: It reduces to ordinary…
Valleys in Quantum Mechanics
Hideaki Aoyama, Hisashi Kikuchi, Ikuo Okouchi +2
Conventionally, perturbative and non-perturbative calculations are performed independently. In this paper, valleys in the configuration space in quantum mechanics are investigated…