Global Existence of Bell's Time-Inhomogeneous Jump Process for Lattice Quantum Field Theory
| dc.creator | Georgii, Hans-Otto | |
| dc.creator | Tumulka, Roderich | |
| dc.date | 2003-12-15 | |
| dc.date | 2004-03-31 | |
| dc.date.accessioned | 2026-07-07T05:03:56Z | |
| dc.date.available | 2026-07-07T05:03:56Z | |
| dc.description | We consider the time-inhomogeneous Markovian jump process introduced by John S. Bell [Phys.Rep. 137, 49] for a lattice quantum field theory, which runs on the associated configuration space. Its jump rates, tailored to give the process the quantum distribution $|Ψ_t|^2$ at all times $t$, typically exhibit singularities. We establish the existence of a unique such process for all times, under suitable assumptions on the Hamiltonian or the initial state vector $Ψ_0$. The proof of non-explosion takes advantage of the special role of the $|Ψ_t|^2$ distribution. | |
| dc.description | 16 pages LaTeX, no figures; v2: references added, minor extension of the introduction | |
| dc.identifier | https://arxiv.org/abs/math/0312294 | |
| dc.identifier | http://arxiv.org/abs/math/0312294 | |
| dc.identifier | Markov Processes and Related Fields 11, 1-18 (2005) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69607 | |
| dc.subject | Probability | |
| dc.subject | Mathematical Physics | |
| dc.subject | Quantum Physics | |
| dc.subject | 60J75; 81T25 | |
| dc.title | Global Existence of Bell's Time-Inhomogeneous Jump Process for Lattice Quantum Field Theory | |
| dc.type | text |