The Jacobi principal function in Quantum Mechanics
| dc.creator | Ferraro, Rafael | |
| dc.date | 1996-11-22 | |
| dc.date | 1999-04-22 | |
| dc.date.accessioned | 2026-07-07T10:59:08Z | |
| dc.date.available | 2026-07-07T10:59:08Z | |
| dc.description | The canonical functional action in the path integral in phase space is discretized by linking each pair of consecutive vertebral points --${\bf q}_k$ and ${\bf p}_{k+1}$ or ${\bf p}_k$ and ${\bf q}_{k+1}$-- through the invariant complete solution of the Hamilton-Jacobi equation associated with the classical path defined by these extremes. When the measure is chosen to reflect the geometrical character of the propagator (it must behave as a density of weight 1/2 in both of its arguments), the resulting infinitesimal propagator is cast in the form of an expansion in a basis of short-time solutions of the wave equation, associated with the eigenfunctions of the initial momenta canonically conjugated to a set of normal coordinates. The operator ordering induced by this prescription is a combination of a symmetrization rule coming from the phase, and a derivative term coming from the measure. | |
| dc.description | 20 pages (LaTeX manuscript). Final version to appear in Journal of Physics A. The role played by normal coordinates is emphazised. The prescription to path integrate is compared with the operator symbol method | |
| dc.identifier | https://arxiv.org/abs/quant-ph/9611040 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/9611040 | |
| dc.identifier | J.Phys.A32:2589,1999 | |
| dc.identifier | doi:10.1088/0305-4470/32/13/010 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/187345 | |
| dc.subject | Quantum Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Jacobi principal function in Quantum Mechanics | |
| dc.type | text |