{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,4,1]],"date-time":"2023-04-01T21:15:37Z","timestamp":1680383737285},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015,6,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>A class of stochastic particle models for the\nspatially discretized time-dependent Schr\u00f6dinger equation\nis constructed.\nEach particle is characterized by a\ncomplex-valued weight and a position.\nThe particle weights change according to some deterministic rules between\nthe jumps.\nThe jumps are determined by the creation of offspring.\nThe main result is that certain functionals of the\nparticle systems\nsatisfy the Schr\u00f6dinger equation.\nThe proofs are based on the theory of piecewise deterministic\nMarkov processes.<\/jats:p>","DOI":"10.1515\/mcma-2014-0014","type":"journal-article","created":{"date-parts":[[2015,4,24]],"date-time":"2015-04-24T17:01:27Z","timestamp":1429894887000},"page":"121-137","source":"Crossref","is-referenced-by-count":10,"title":["A class of probabilistic models for the Schr\u00f6dinger equation"],"prefix":"10.1515","volume":"21","author":[{"given":"Wolfgang","family":"Wagner","sequence":"first","affiliation":[{"name":"Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstra\u00dfe 39, 10117 Berlin, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2015,4,24]]},"container-title":["Monte Carlo Methods and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/mcma-2014-0014\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/mcma-2014-0014\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,4,1]],"date-time":"2023-04-01T19:45:40Z","timestamp":1680378340000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/mcma-2014-0014\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,4,24]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2015,5,7]]},"published-print":{"date-parts":[[2015,6,1]]}},"alternative-id":["10.1515\/mcma-2014-0014"],"URL":"https:\/\/doi.org\/10.1515\/mcma-2014-0014","relation":{},"ISSN":["0929-9629","1569-3961"],"issn-type":[{"value":"0929-9629","type":"print"},{"value":"1569-3961","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,4,24]]}}}