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Supersymmetric Quantum Mechanics with Reflections
supersymmetric quantum mechanics Dunkl and reflection operators Scarf potential little-1 Jacobi polynomials
2011/9/22
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...
Supersymmetric Quantum Mechanics For Atomic Electronic Systems
Supersymmetric Quantum Mechanics Atomic Electronic Systems
2011/9/15
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...
Dirac Operator on Complex Manifolds and Supersymmetric Quantum Mechanics
Dirac Operator Complex Manifolds Supersymmetric Quantum Mechanics
2011/3/2
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...
Supersymmetric quantum mechanics and Painleve IV equation
Supersymmetric quantum mechanics Painleve IV equation
2011/1/17
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...
Extended Supersymmetric Quantum Mechanics of Fierz and Schur Type
Extended Supersymmetric Quantum Mechanics Fierz Schur Type
2011/1/18
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) ...
Generalized Spin and Pseudo-Spin Symmetry: Relativistic Extension of Supersymmetric Quantum Mechanics
Generalized Spin Pseudo-Spin Symmetry Relativistic Extension Supersymmetric Quantum Mechanics
2010/11/11
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...
Deformed Clifford algebra and supersymmetric quantum mechanics on a phase space with applications in quantum optics
Cliff ord algebra supersymmetric quantum mechanics deformation quantization Wigner functions Jaynes-Cummings models
2010/4/13
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
2010/10/15
Is Supersymmetric Quantum Mechanics compatible with Duality.
Generating of Conditionally Exactly Soluble Potentials by Method of Supersymmetric Quantum Mechanics
supersymmetric quantum mechanics conditionally exactly soluble
potential SWKB approximation variational method energy level
2007/8/15
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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