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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...
Nonlinear Boundaries in Quantum Mechanics
Nonlinear Boundaries Quantum Mechanics Quantum Physics
2011/7/28
Abstract: Based on empirical evidence, quantum eigenvalue equations appear to be strictly linear and gauge invariant. This work uses concise mathematics to show that quantum eigenvalue equations on a ...
Unstable particles in non-relativistic quantum mechanics?
non-relativistic quantum mechanics Unstable particles Quantum Physics
2011/7/26
Abstract: The Schroedinger equation is up-to-a-phase invariant under the Galilei group. This phase leads to the Bargmann's superselection rule, which forbids the existence of the superposition of stat...
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...
Classical and Quantum Mechanics from the universal Poisson-Rinehart algebra of a manifold
Lie-Rinehart algebras Poisson algebras quantization
2010/4/8
The Lie and module (Rinehart) algebraic structure of vector fields of compact support over C infinity functions on a (connected) manifold M define a unique universal non-commutative Poisson * algebra....