N-fold Supersymmetry in Quantum Mechanics - Analyses of Particular Models -

Details N-fold Supersymmetry in Quantum Mechanics - Analyses of Particular Models - N-fold Supersymmetry in Quantum Mechanics - Analyses of Particular Models -

2001-09-23

arxiv.org/abs/hep-th/0109179v2

J.Math.Phys. 43 (2002) 3484-3510

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, 10 figures, REVTeX 4

Scientific paper

10.1063/1.1485115

We investigate particular models which can be N-fold supersymmetric at specific values of a parameter in the Hamiltonians. The models to be investigated are a periodic potential and a parity-symmetric sextic triple-well potential. Through the quantitative analyses on the non-perturbative contributions to the spectra by the use of the valley method, we show how the characteristic features of N-fold supersymmetry which have been previously reported by the authors can be observed. We also clarify the difference between quasi-exactly solvable and quasi-perturbatively solvable case in view of the dynamical property, that is, dynamical N-fold supersymmetry breaking.

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