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Complex Symmetry, Jordan Blocks and Microscopic Selforganization: An Examination of the Limits of Quantum Theory. Based on Nonself-adjoint Extensions with Illustrations from Chemistry and Physics
Uppsala University, Disciplinary Domain of Science and Technology, Chemistry, Department of Physical and Analytical Chemistry, Quantum Chemistry.
2009 (English)In: Self-Organization of Molecular Systems: From Molecules and Clusters to nanotubes and Proteins / [ed] N. Russo, V. Ya. Antonchenko, E. Kryachko, Springer , 2009, 49-87 p.Chapter in book (Refereed)
Abstract [en]

The basis and motivation for extending quantum mechanics beyond its traditional domain are recognized and examined. The mathematical details are briefly discussed and a convenient compact complex symmetric representation derived. An original formula is proved and demonstrated to incorporate general Jordan block configurations characterized by Segrè characteristics larger than one. It is verified that these triangular forms can portray realistic evolutions via maps established both within fundamental quantum mechanics as well as within a generalized thermodynamic formulation displaying features that are reminiscent of self-organization on a microscopic level. Various applications of these so-called coherent dissipative structures in physics and chemistry are pointed out, and discussed with possible inferences also made to the biological domain.

Place, publisher, year, edition, pages
Springer , 2009. 49-87 p.
, NATO Science for Peace and Security Series A: Chemistry and Biology, ISSN 1871-4641 ; XIV
Keyword [en]
Aqueous solutions, Analytic continuation, Complex symmetry, Resonances, Jordan blocks, Segre characteristics, Condensed matter, Coherent-dissipative structures, ODLRO, Universal relation, High-T c, Molten salts, Special- and general theory of relativity
National Category
Theoretical Chemistry
Research subject
Chemistry with specialization in Quantum Chemistry
URN: urn:nbn:se:uu:diva-123697DOI: 10.1007/978-90-481-2590-6_4ISBN: 978-90-481-2482-4ISBN: 978-90-481-2483-1OAI: oai:DiVA.org:uu-123697DiVA: diva2:315376
Available from: 2010-04-29 Created: 2010-04-29 Last updated: 2011-03-21Bibliographically approved

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Brändas, Erkki J
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