On the validity of the master equation for finite closed systems
- Two equations for the macroscopic part W of the statistical operator are considered: 1. the master equation W = — MW, t 2. the exact equation W = — J K(t — r) W (r) dr. It follows from the physical equivalence of the solutions together with a stability assumption and the assumption that there is a time τ* after which also the derivatives of the solutions are equivalent, that τ* is the life-time of the kernel K and that Conversely, the equivalence of the solutions follows from assumptions on the life-time of the kernel K together with a stability assumption and a smoothness assumption on the initial statistical operator W(0).
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| Author: | Otto SeebergGND |
|---|---|
| URN: | urn:nbn:de:hebis:30:3-735376 |
| DOI: | https://doi.org/10.1515/zna-1978-0602 |
| ISSN: | 1865-7109 |
| Parent Title (German): | Zeitschrift für Naturforschung, A |
| Publisher: | Verlag der Zeitschrift für Naturforschung |
| Place of publication: | Tübingen |
| Document Type: | Article |
| Language: | English |
| Date of Publication (online): | 2014/06/02 |
| Year of first Publication: | 1978 |
| Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
| Release Date: | 2023/06/19 |
| Volume: | 33 |
| Issue: | 6 |
| Page Number: | 11 |
| First Page: | 627 |
| Last Page: | 637 |
| HeBIS-PPN: | 510061435 |
| Institutes: | Physik |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Sammlungen: | Universitätspublikationen |
| Licence (German): |  Creative Commons - Namensnennung-Nicht kommerziell-Keine Bearbeitung 3.0 |
