Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Time inversion in dynamical systems
KTH, Superseded Departments, Physics.
KTH, Superseded Departments, Physics.
2004 (English)In: Annals of Physics, ISSN 0003-4916, E-ISSN 1096-035X, Vol. 310, no 1, 106-126 p.Article in journal (Refereed) Published
Abstract [en]

We consider the case of a dynamical system when the time evolution is generated by a non-hermitian superoperator on the states of the system. Assuming the left and right eigenvectors of this to provide complete basis sets, we propose a generalized scalar product which can be used to construct a monotonically changing functional of the state, a generalized entropy. Combining the time-dependent state with its time-reversed counterpart we can define the operation of time inversion even in this case of irreversible evolution. We require that both the forward and reversed time evolution can be obtained from a generalized action principle, and this demand serves to define the form of the time-reversed state uniquely. The work thus generalizes the quantum treatment from the unitary case to the irreversible one. We present a discussion of the approach and derive some of the direct consequences of our results.

Place, publisher, year, edition, pages
2004. Vol. 310, no 1, 106-126 p.
Keyword [en]
open quantum systems, irreversible evolution, time inversion, time-reversed state, generalized entropy
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-45360DOI: 10.1016/j.aop.2003.09.001ISI: 000189100500004Scopus ID: 2-s2.0-1442280667OAI: oai:DiVA.org:kth-45360DiVA: diva2:452840
Note
QC 20111031Available from: 2011-10-31 Created: 2011-10-28 Last updated: 2017-12-08Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Stenholm, StigJakob, Matthias
By organisation
Physics
In the same journal
Annals of Physics
Physical Sciences

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 25 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf