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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…
Pareto's Law for Income of Individuals and Debt of Bankrupt Companies
Hideaki Aoyama, Yuichi Nagahara, Mitsuhiro P. Okazaki +3
We analyze the distribution of income and income tax of individuals in Japan for the fiscal year 1998. From the rank-size plots we find that the accumulated probability distributio…