Matches in SemOpenAlex for { <https://semopenalex.org/work/W2052911291> ?p ?o ?g. }
Showing items 1 to 60 of
60
with 100 items per page.
- W2052911291 endingPage "45" @default.
- W2052911291 startingPage "37" @default.
- W2052911291 abstract "Abstract We discuss the spectral property of unstable dynamical systems in both classical and quantum mechanics. An important class of unstable dynamical systems corresponds to the Large Poincare Systems (LPS). Conventional perturbation technique leads then to divergences. We introduce methods for the elimination of Poincare divergences to obtain a solution of the spectral problem analytic in the coupling constant. To do so, we have to enlarge the class of permissible transformations, to include non-unitary transformations as well as to extend the Hilbert space. A simple example refers to the Friedrichs model, which was studied independently by George Sudarshan and his co-workers. However, our main interest is the irreducible representations in the Liouville space. In these representations the central quantity is the density matrix, and the eigenfunctions of the Liouville operator cannot be expressed in terms of the wave functions. We suggest that this situation corresponds to quantum chaos. Indeed, classical chaos does not mean that Newton's equation becomes wrong but that trajectories loose their operational meaning. Similarly, whenever we have an irreducible representation in the Liouville space this means that the wave function description looses its operational meaning. Additional statistical features appear. A simple example corresponds to persistent interactions in the scattering problem which cannot be treated in the frame of usual S-matrix theory." @default.
- W2052911291 created "2016-06-24" @default.
- W2052911291 creator A5034255098 @default.
- W2052911291 date "1997-02-01" @default.
- W2052911291 modified "2023-09-23" @default.
- W2052911291 title "From Poincare's Divergences to Quantum Mechanics with Broken Time Symmetry" @default.
- W2052911291 doi "https://doi.org/10.1515/zna-1997-1-212" @default.
- W2052911291 hasPublicationYear "1997" @default.
- W2052911291 type Work @default.
- W2052911291 sameAs 2052911291 @default.
- W2052911291 citedByCount "5" @default.
- W2052911291 countsByYear W20529112912021 @default.
- W2052911291 crossrefType "journal-article" @default.
- W2052911291 hasAuthorship W2052911291A5034255098 @default.
- W2052911291 hasBestOaLocation W20529112911 @default.
- W2052911291 hasConcept C113736593 @default.
- W2052911291 hasConcept C121332964 @default.
- W2052911291 hasConcept C128803854 @default.
- W2052911291 hasConcept C158693339 @default.
- W2052911291 hasConcept C202444582 @default.
- W2052911291 hasConcept C2781311116 @default.
- W2052911291 hasConcept C33923547 @default.
- W2052911291 hasConcept C37914503 @default.
- W2052911291 hasConcept C62520636 @default.
- W2052911291 hasConcept C62799726 @default.
- W2052911291 hasConcept C74650414 @default.
- W2052911291 hasConcept C88221313 @default.
- W2052911291 hasConceptScore W2052911291C113736593 @default.
- W2052911291 hasConceptScore W2052911291C121332964 @default.
- W2052911291 hasConceptScore W2052911291C128803854 @default.
- W2052911291 hasConceptScore W2052911291C158693339 @default.
- W2052911291 hasConceptScore W2052911291C202444582 @default.
- W2052911291 hasConceptScore W2052911291C2781311116 @default.
- W2052911291 hasConceptScore W2052911291C33923547 @default.
- W2052911291 hasConceptScore W2052911291C37914503 @default.
- W2052911291 hasConceptScore W2052911291C62520636 @default.
- W2052911291 hasConceptScore W2052911291C62799726 @default.
- W2052911291 hasConceptScore W2052911291C74650414 @default.
- W2052911291 hasConceptScore W2052911291C88221313 @default.
- W2052911291 hasIssue "1-2" @default.
- W2052911291 hasLocation W20529112911 @default.
- W2052911291 hasOpenAccess W2052911291 @default.
- W2052911291 hasPrimaryLocation W20529112911 @default.
- W2052911291 hasRelatedWork W1973374783 @default.
- W2052911291 hasRelatedWork W2006061546 @default.
- W2052911291 hasRelatedWork W2053448926 @default.
- W2052911291 hasRelatedWork W2086344823 @default.
- W2052911291 hasRelatedWork W2088984317 @default.
- W2052911291 hasRelatedWork W2365606441 @default.
- W2052911291 hasRelatedWork W3087521923 @default.
- W2052911291 hasRelatedWork W3098429452 @default.
- W2052911291 hasRelatedWork W2287134157 @default.
- W2052911291 hasRelatedWork W2296152727 @default.
- W2052911291 hasVolume "52" @default.
- W2052911291 isParatext "false" @default.
- W2052911291 isRetracted "false" @default.
- W2052911291 magId "2052911291" @default.
- W2052911291 workType "article" @default.