dc.contributor.author | Bakken, Erik Makino | |
dc.contributor.author | Digernes, Trond | |
dc.contributor.author | Weisbart, David | |
dc.date.accessioned | 2019-04-01T11:34:23Z | |
dc.date.available | 2019-04-01T11:34:23Z | |
dc.date.created | 2017-10-12T15:39:23Z | |
dc.date.issued | 2017 | |
dc.identifier.issn | 0129-055X | |
dc.identifier.uri | http://hdl.handle.net/11250/2592696 | |
dc.description.abstract | We give a stochastic proof of the finite approximability of a class of Schrödinger operators over a local field, thereby completing a program of establishing in a non-Archimedean setting corresponding results and methods from the Archimedean (real) setting. A key ingredient of our proof is to show that Brownian motion over a local field can be obtained as a limit of random walks over finite grids. Also, we prove a Feynman–Kac formula for the finite systems, and show that the propagator at the finite level converges to the propagator at the infinite level. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | World Scientific Publishing | nb_NO |
dc.title | Brownian motion and finite approximations of quantum systems over local fields | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | acceptedVersion | nb_NO |
dc.source.volume | 29 | nb_NO |
dc.source.journal | Reviews in Mathematical Physics | nb_NO |
dc.source.issue | 5 | nb_NO |
dc.identifier.doi | 10.1142/S0129055X17500167 | |
dc.identifier.cristin | 1504267 | |
dc.description.localcode | Electronic version of an article published at https://doi.org/10.1142/S0129055X17500167 © Copyright World Scientific Publishing Company. | nb_NO |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |