Hamilton-Jacobi Mechanics from Pseudo-Supersymmetry
| dc.creator | Townsend, Paul K. | |
| dc.date | 2007-10-26 | |
| dc.date | 2007-11-20 | |
| dc.date.accessioned | 2026-07-07T11:12:41Z | |
| dc.date.available | 2026-07-07T11:12:41Z | |
| dc.description | 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. | |
| dc.description | 21 pages. Revised to include improved discussion of qantum theory and additional references | |
| dc.identifier | https://arxiv.org/abs/0710.5178 | |
| dc.identifier | http://arxiv.org/abs/0710.5178 | |
| dc.identifier | Class.Quant.Grav.25:045017,2008 | |
| dc.identifier | doi:10.1088/0264-9381/25/4/045017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/191460 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Hamilton-Jacobi Mechanics from Pseudo-Supersymmetry | |
| dc.type | text |