Wiener Integration for Quantum Systems: A Unified Approach to the Feynman-Kac formula
| dc.creator | Bodmann, B. | |
| dc.creator | Leschke, H. | |
| dc.creator | Warzel, S. | |
| dc.date | 1997-03-18 | |
| dc.date.accessioned | 2026-07-07T06:14:11Z | |
| dc.date.available | 2026-07-07T06:14:11Z | |
| dc.description | A generalized Feynman-Kac formula based on the Wiener measure is presented. Within the setting of a quantum particle in an electromagnetic field it yields the standard Feynman-Kac formula for the corresponding Schrödinger semigroup. In this case rigorous criteria for its validity are compiled. Finally, phase-space path-integral representations for more general quantum Hamiltonians are derived. These representations rely on a generalized Lie-Trotter formula which takes care of the operator-ordering multiplicity, but in general is not related to a path measure. | |
| dc.description | 12 pages, LATEX | |
| dc.identifier | https://arxiv.org/abs/quant-ph/9703031 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/9703031 | |
| dc.identifier | Path integrals: Dubna '96, eds. V. S. Yarunin and M. A. Smondyrev, Dubna 1996, JINR E96-321, ISBN: 5-85165-451-1, pp. 95-106 (with minor improvements) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/93369 | |
| dc.subject | Quantum Physics | |
| dc.title | Wiener Integration for Quantum Systems: A Unified Approach to the Feynman-Kac formula | |
| dc.type | text |