Quantum Surface of Section Method: Decomposition of the Resolvent (E - H)^(-1)
| dc.creator | Prosen, Tomaz | |
| dc.date | 1995-02-08 | |
| dc.date.accessioned | 2026-07-07T09:07:46Z | |
| dc.date.available | 2026-07-07T09:07:46Z | |
| dc.description | The paper presents exact surface of section reduction of quantum mechanics. The main theoretical result is a decomposition of the energy-dependent propagator G(E) = (E - H)^(-1) in terms of the propagators which (also or exclusively) act in Hilbert space of complex-valued functions over the configurational surface of section, which has one dimension less than the original configuration space. These energy-dependent quantum propagators from and/or onto the configurational surface of section can be explicitly constructed as the solutions of the first order nonlinear Riccati-like initial value problems. | |
| dc.description | 20 pages, 1 figure, file in plain LaTeX includes the figure | |
| dc.identifier | https://arxiv.org/abs/chao-dyn/9502008 | |
| dc.identifier | http://arxiv.org/abs/chao-dyn/9502008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150488 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Quantum Surface of Section Method: Decomposition of the Resolvent (E - H)^(-1) | |
| dc.type | text |