{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,10]],"date-time":"2026-01-10T00:45:38Z","timestamp":1768005938656,"version":"3.49.0"},"reference-count":40,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2021,3,30]],"date-time":"2021-03-30T00:00:00Z","timestamp":1617062400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/100014440","name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","doi-asserted-by":"publisher","award":["RTI2018-097876-B-C21"],"award-info":[{"award-number":["RTI2018-097876-B-C21"]}],"id":[{"id":"10.13039\/100014440","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002809","name":"Generalitat de Catalunya","doi-asserted-by":"publisher","award":["001-P-001644 (QUANTUMCAT)"],"award-info":[{"award-number":["001-P-001644 (QUANTUMCAT)"]}],"id":[{"id":"10.13039\/501100002809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100010661","name":"Horizon 2020 Framework Programme","doi-asserted-by":"publisher","award":["Marie Sklodowska-Curie Grant No. 765426 TeraApps"],"award-info":[{"award-number":["Marie Sklodowska-Curie Grant No. 765426 TeraApps"]}],"id":[{"id":"10.13039\/100010661","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100010661","name":"Horizon 2020 Framework Programme","doi-asserted-by":"publisher","award":["881603 GrapheneCore3"],"award-info":[{"award-number":["881603 GrapheneCore3"]}],"id":[{"id":"10.13039\/100010661","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Without access to the full quantum state, modeling quantum transport in mesoscopic systems requires dealing with a limited number of degrees of freedom. In this work, we analyze the possibility of modeling the perturbation induced by non-simulated degrees of freedom on the simulated ones as a transition between single-particle pure states. First, we show that Bohmian conditional wave functions (BCWFs) allow for a rigorous discussion of the dynamics of electrons inside open quantum systems in terms of single-particle time-dependent pure states, either under Markovian or non-Markovian conditions. Second, we discuss the practical application of the method for modeling light\u2013matter interaction phenomena in a resonant tunneling device, where a single photon interacts with a single electron. Third, we emphasize the importance of interpreting such a scattering mechanism as a transition between initial and final single-particle BCWF with well-defined central energies (rather than with well-defined central momenta).<\/jats:p>","DOI":"10.3390\/e23040408","type":"journal-article","created":{"date-parts":[[2021,3,30]],"date-time":"2021-03-30T09:57:04Z","timestamp":1617098224000},"page":"408","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Scattering in Terms of Bohmian Conditional Wave Functions for Scenarios with Non-Commuting Energy and Momentum Operators"],"prefix":"10.3390","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1315-7851","authenticated-orcid":false,"given":"Matteo","family":"Villani","sequence":"first","affiliation":[{"name":"Department of Electronic Engineering, Universitat Aut\u00f2noma de Barcelona, Campus de la UAB, 08193 Bellaterra, Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2181-7023","authenticated-orcid":false,"given":"Guillermo","family":"Albareda","sequence":"additional","affiliation":[{"name":"Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chaussee 149, 22761 Hamburg, Germany"},{"name":"Institute of Theoretical and Computational Chemistry, Universitat de Barcelona, Gran Via de les Corts Catalanes 585, 08007 Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3399-4748","authenticated-orcid":false,"given":"Carlos","family":"Destefani","sequence":"additional","affiliation":[{"name":"Department of Electronic Engineering, Universitat Aut\u00f2noma de Barcelona, Campus de la UAB, 08193 Bellaterra, Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1905-5979","authenticated-orcid":false,"given":"Xavier","family":"Cartoix\u00e0","sequence":"additional","affiliation":[{"name":"Department of Electronic Engineering, Universitat Aut\u00f2noma de Barcelona, Campus de la UAB, 08193 Bellaterra, Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2181-4284","authenticated-orcid":false,"given":"Xavier","family":"Oriols","sequence":"additional","affiliation":[{"name":"Department of Electronic Engineering, Universitat Aut\u00f2noma de Barcelona, Campus de la UAB, 08193 Bellaterra, Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,3,30]]},"reference":[{"key":"ref_1","unstructured":"Breuer, H.P., and Petruccione, F. 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