Quantum Hamilton-Jacobi Theory
| dc.creator | Roncadelli, Marco | |
| dc.creator | Schulman, L. S. | |
| dc.date | 2007-12-03 | |
| dc.date.accessioned | 2026-07-07T08:46:55Z | |
| dc.date.available | 2026-07-07T08:46:55Z | |
| dc.description | Quantum canonical transformations have attracted interest since the beginning of quantum theory. Based on their classical analogues, one would expect them to provide a powerful quantum tool. However, the difficulty of solving a nonlinear operator partial differential equation such as the quantum Hamilton-Jacobi equation (QHJE) has hindered progress along this otherwise promising avenue. We overcome this difficulty. We show that solutions to the QHJE can be constructed by a simple prescription starting from the propagator of the associated Schroedinger equation. Our result opens the possibility of practical use of quantum Hamilton-Jacobi theory. As an application we develop a surprising relation between operator ordering and the density of paths around a semiclassical trajectory. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/0712.0307 | |
| dc.identifier | http://arxiv.org/abs/0712.0307 | |
| dc.identifier | Phys. Rev. Lett. 99, 170406 (2007) | |
| dc.identifier | doi:10.1103/PhysRevLett.99.170406 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143418 | |
| dc.subject | Quantum Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Quantum Hamilton-Jacobi Theory | |
| dc.type | text |