ua nt - p h / 01 06 03 7 v 1 7 J un 2 00 1 N - fold Supersymmetry in Quantum Mechanics - General Formalism -

Abstract

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 momentum. Relations between the anti-commutator of the supercharges and the Hamiltonian, the spectra, the Witten index, the non-renormalization theorems and the quasi-solvability… (More)

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