Quantum Mechanics Simulated as Branching Process
| dc.creator | Fricke, Thomas | |
| dc.date | 1995-07-28 | |
| dc.date | 1995-07-31 | |
| dc.date.accessioned | 2026-07-07T08:58:56Z | |
| dc.date.available | 2026-07-07T08:58:56Z | |
| dc.description | Diffusion processes with branching play an important role in statistical dynamics. They are a common approach to the computing of quantum mechanical groundstates, and serve as models for population dynamics and as physical pictures for biological evolution. On a computer the efficiency of this simulation method is limited by the approach to the infinitesimal time step, which is necessary to perform alternating diffusion and branching steps. In this paper, a method is described, which eliminates the infinitesimal time step for a certain class of branching processes, if the process of interest can be ``embedded'' into another process, which is solvable by other analytic and/or numerical methods. The simplest choice for the embbeding process is given by a process with a constant branching rate, which dominates the rate of the embedded process. | |
| dc.description | 4 pages, RevTex, epsf, 3 pictures, submitted to Phys. Rev. Let., revision of minor Latex bug fixes | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9507128 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9507128 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147525 | |
| dc.subject | Condensed Matter | |
| dc.title | Quantum Mechanics Simulated as Branching Process | |
| dc.type | text |