Partitioning technique for open systems
2010 (English)In: Molecular Physics, ISSN 0026-8976, E-ISSN 1362-3028, Vol. 108, no 21-23, 3259-3272 p.Article in journal (Refereed) Published
The focus of the present contribution is essentially confined to three research areas carried out during the author's turns as visiting (assistant, associate and full) professor at the University of Florida's Quantum Theory Project, QTP. The first two topics relate to perturbation theory and spectral theory for self-adjoint operators in Hilbert space. The third subject concerns analytic extensions to non-self-adjoint problems, where particular consequences of the occurrence of continuous energy spectra are measured. In these studies general partitioning methods serve as general cover for perturbation-, variational- and general matrix theory. In addition we follow up associated inferences for the time dependent problem as well as recent results and conclusions of a rather general yet surprising character. Although the author spent most of his times at QTP during visits in the 1970s and 1980s, collaborations with department members and shorter stays continued through later decades. Nevertheless the impact must be somewhat fragmentary, yet it is hoped that the present account is sufficiently self-contained to be realistic and constructive.
Place, publisher, year, edition, pages
2010. Vol. 108, no 21-23, 3259-3272 p.
partitioning technique, time scales, spectral theory, complex dilations, dissipative dynamics, Jordan blocks, quantum correlations, thermal correlations
IdentifiersURN: urn:nbn:se:uu:diva-140032DOI: 10.1080/00268976.2010.508754ISI: 000284635100041OAI: oai:DiVA.org:uu-140032DiVA: diva2:382850