On quantum mechanics as constrained N=2 supersymmetric classical mechanics

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages

Scientific paper

10.1016/j.physleta.2004.12.045

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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