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Abstract: We consider a realization of supersymmetric quantum mechanics where supercharges are differential-difference operators with reflections. A supersymmetric system with an extended Scarf I pote...
We employ our new approach to non-relativistic supersymmetric quantum mechanics (SUSYQM),(J. Phys. Chem. A 114, 8202(2010)) for any number of dimensions and distinguishable particles, to treat the hyd...
We explore a new simple N = 2 SQM model describing the motion over complex manifolds in external gauge fields. The nilpotent supercharge Q of the model can be interpreted as a (twisted) exterior holom...
It will be seen that the determination of general one-dimensional Schr¨odinger Hamiltonians having third-order differential ladder operators requires to solve the Painlev´e IV equation. It shall...
We discuss two independent constructions to introduce an N-extended Super-symmetric Quantum Mechanics. The first one makes use of the Fierz identities while the second one (divided into two subcases) ...
We consider the Dirac equation in 1+1 space-time dimension with vector, scalar and pseudo-scalar coupling. In the traditional spin (or pseudo-spin) symmetry, the difference between (or sum of) the sca...
In order to realize supersymmetric quantum mechanics methods on a four dimensional classical phase-space, the complexified Clifford algebra of this space is extended by deforming it with the Moyal sta...
Is Supersymmetric Quantum Mechanics compatible with Duality      Supersymmetric Quantum Mechanics  Duality       font style='font-size:12px;'> 2010/10/15
Is Supersymmetric Quantum Mechanics compatible with Duality.
2007Vol.47No.2pp.225-228DOI: Generating of Conditionally Exactly Soluble Potentials by Method of Supersymmetric Quantum Mechanics QIAN Shang-Wu,1 MIAO Chun-Hui,1 and GU Zhi-Yu2 ...

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