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

Abstract

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.

32 pages, 10 figures, REVTeX 4

References in corpus (8)

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Cited by in corpus (17)

• Nonlinear Supersymmetry for Spectral Design in Quantum Mechanics
• N-fold Supersymmetry in Quantum Systems with Position-dependent Mass
• Non-Hermitian SUSY Hydrogen-like Hamiltonians with real spectra
• A New Family of N-fold Supersymmetry: Type B
• Type A N-fold Supersymmetry and Generalized Bender-Dunne Polynomials
• Exact-WKB analysis for SUSY and quantum deformed potentials: Quantum mechanics with Grassmann fields and Wess-Zumino terms
• Effect of Position-dependent Mass on Dynamical Breaking of Type B and Type X_2 N-fold Supersymmetry
• Supersymmetry identifies molecular Stark states whose eigenproperties can be obtained analytically
• sl(M+1) Construction of Quasi-solvable Quantum M-body Systems
• Tunneling dynamics in exactly-solvable models with triple-well potentials
• Symmetric Tops Subject to Combined Electric Fields: Conditional Quasi-Solvability via the Quantum Hamilton-Jacobi Theory
• Parasupersymmetry and N-fold Supersymmetry in Quantum Many-Body Systems I. General Formalism and Second Order
• On General Form of N-fold Supersymmetry
• Symmetric Triple Well with Non-Equivalent Vacua: Instantonic Approach
• Simultaneous Type A N-fold Supersymmetry with Two Different Values of N
• A Family of Quasi-solvable Quantum Many-body Systems
• On Disagreement about Nonperturbative Corrections in Triple-well Potential