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arXiv · 0710.5178

Hamilton-Jacobi Mechanics from Pseudo-Supersymmetry

Paul K. Townsend
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Abstract

For a general mechanical system, it is shown that each solution of the Hamilton-Jacobi equation defines an N=2 pseudo-supersymmetric extension of the system, such that the usual relation of the momenta to Hamilton's principal function is the `BPS' condition for preservation of 1/2 pseudo-supersymmetry. The examples of the relativistic and non-relativistic particle, in a general potential, are worked through in detail, and used to discuss the relation to cosmology and to supersymmetric quantum mechanics.

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Paul K. Townsend. 2007-11-20. Hamilton-Jacobi Mechanics from Pseudo-Supersymmetry. https://doi.org/10.1088/0264-9381%2F25%2F4%2F045017

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