Effect of Position-dependent Mass on Dynamical Breaking of Type B and Type X_2 N-fold Supersymmetry

Abstract

We investigate effect of position-dependent mass profiles on dynamical breaking of N-fold supersymmetry in several type B and type X_2 models. We find that N-fold supersymmetry in rational potentials in the constant-mass background are steady against the variation of mass profiles. On the other hand, some physically relevant mass profiles can change the pattern of dynamical N-fold supersymmetry breaking in trigonometric, hyperbolic, and exponential potentials of both type B and type X_2. The latter results open the possibility of detecting experimentally phase transition of N-fold as well as ordinary supersymmetry at a realistic energy scale.

24 pages, no figures, to appear in Journal of Physics A

References in corpus (5)

• N-fold Supersymmetry in Quantum Systems with Position-dependent Mass
• Shape-invariant quantum Hamiltonian with position-dependent effective mass through second order supersymmetry
• A New Family of N-fold Supersymmetry: Type B
• A Novel Multi-parameter Family of Quantum Systems with Partially Broken N-fold Supersymmetry
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Cited by in corpus (2)

• Infinite families of (non)-Hermitian Hamiltonians associated with exceptional $X_m$ Jacobi polynomials
• Quasi-Hermitian Hamiltonians associated with exceptional orthogonal polynomials