Existence, uniqueness and approximation for stochastic Schrodinger equation: the Poisson case
| dc.creator | Pellegrini, Clement | |
| dc.date | 2007-09-24 | |
| dc.date | 2009-03-06 | |
| dc.date.accessioned | 2026-07-07T12:58:44Z | |
| dc.date.available | 2026-07-07T12:58:44Z | |
| dc.description | In quantum physics, recent investigations deal with the so-called "quantum trajectory" theory. Heuristic rules are usually used to give rise to "stochastic Schrodinger equations" which are stochastic differential equations of non-usual type describing the physical models. These equations pose tedious problems in terms of mathematical justification: notion of solution, existence, uniqueness, justification... In this article, we concentrate on a particular case: the Poisson case. Random measure theory is used in order to give rigorous sense to such equations. We prove existence and uniqueness of a solution for the associated stochastic equation. Furthermore, the stochastic model is physically justified by proving that the solution can be obtained as a limit of a concrete discrete time physical model. | |
| dc.description | 35 pages | |
| dc.identifier | https://arxiv.org/abs/0709.3713 | |
| dc.identifier | http://arxiv.org/abs/0709.3713 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225340 | |
| dc.subject | Probability | |
| dc.subject | Mathematical Physics | |
| dc.subject | Quantum Physics | |
| dc.title | Existence, uniqueness and approximation for stochastic Schrodinger equation: the Poisson case | |
| dc.type | text |