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On quantum mechanics as constrained N=2 supersymmetric classical mechanics

High Energy Physics - Theory 2009-11-10 v1 Classical Physics Quantum Physics

Abstract

The Schr\"odinger equation is shown to be equivalent to a constrained Liouville equation under the assumption that phase space is extended to Grassmann algebra valued variables. For onedimensional systems, the underlying Hamiltonian dynamics has a N=2 supersymmetry. Potential applications to more realistic theories are briefly discussed.

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Cite

@article{arxiv.hep-th/0411176,
  title  = {On quantum mechanics as constrained N=2 supersymmetric classical mechanics},
  author = {H. -T. Elze},
  journal= {arXiv preprint arXiv:hep-th/0411176},
  year   = {2009}
}

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11 pages