The structure of supersymmetry in symmetric quantum mechanics
arXiv:0811.0923 · doi:10.1016/j.physletb.2009.02.038
Abstract
The structure of supersymmetry is analyzed systematically in symmetric quantum mechanical theories. We give a detailed description of supersymmetric systems associated with one dimensional symmetric quantum mechanical theories. We show that there is a richer structure present in these theories compared to the conventional theories associated with Hermitian Hamiltonians. We bring out various properties associated with these supersymmetric systems and generalize such quantum mechanical theories to higher dimensions as well as to the case of one dimensional shape invariant potentials.
arXiv comment15 pages, some explanations included, references added
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- Mathematical aspects of intertwining operators: the role of Riesz bases
- Quantum isotonic nonlinear oscillator as a Hermitian counterpart of Swanson Hamiltonian and pseudo-supersymmetry
- Supersymmetric model of a Bose-Einstein condensate in a -symmetric double-delta trap
- Supersymmetry, shape invariance and the Legendre equations
- Deconstructing non-Dirac-hermitian supersymmetric quantum systems
- Reflectionless PT-symmetric potentials in the one-dimensional Dirac equation
- A Novel SUSY Energy Bound States Treatment of the Klein-Gordon Equation with PT-Supersymmetric and q-Deformed Hulthen Potential
- Supersymmetry and Shape Invariance of exceptional orthogonal polynomials
- Supersymmetric quantum mechanics and the Riemann hypothesis
- Linked -symmetry to Supersymmetry in a class of non-Hermitian Hamiltonians
- Fall-to-the-centre as a symmetry breaking transition
- Supersymmetry, shape invariance and the hypergeometric equation