Dissipative quantum mechanics using GENERIC
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 1710 | |
| dc.contributor.author | Mielke, Alexander | |
| dc.date.accessioned | 2016-03-24T17:38:08Z | |
| dc.date.available | 2019-06-28T08:02:20Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | Pure quantum mechanics can be formulated as a Hamiltonian system in terms of the density matrix. Dissipative effects are modeled via coupling to a macroscopic system, where the coupling operators act via commutators. Following Öttinger (2010) we use the GENERIC framework (General Equations for Non-Equilibrium Reversible Irreversible Coupling) to construct thermodynamically consistent evolution equations as a sum of a Hamiltonian and a gradient-flow contribution, which satisfy a particular non-interaction condition: | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 0946-8633 | |
| dc.identifier.uri | https://doi.org/10.34657/2251 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/1804 | |
| dc.language.iso | eng | eng |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
| dc.relation.issn | 0946-8633 | eng |
| dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
| dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
| dc.subject.ddc | 510 | eng |
| dc.subject.other | Quantum mechanics | eng |
| dc.subject.other | density matrices | eng |
| dc.subject.other | Hamiltonian systems | eng |
| dc.subject.other | gradient systems | eng |
| dc.subject.other | Onsager systems | eng |
| dc.subject.other | GENERIC | eng |
| dc.subject.other | von Neumann entropy | eng |
| dc.subject.other | canonical correlation | eng |
| dc.title | Dissipative quantum mechanics using GENERIC | eng |
| dc.type | Report | eng |
| dc.type | Text | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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