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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) ...