On quantum mechanics as constrained N=2 supersymmetric classical mechanics
arXiv:hep-th/0411176 · doi:10.1016/j.physleta.2004.12.045
Abstract
The Schrödinger 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.
11 pages
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