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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 universitet, Teknisk-naturvetenskapliga vetenskapsområdet, Kemiska sektionen, Institutionen för fysikalisk och analytisk kemi, Kvantkemi.
2009 (Engelska)Ingår i: Self-Organization of Molecular Systems: From Molecules and Clusters to nanotubes and Proteins / [ed] N. Russo, V. Ya. Antonchenko, E. Kryachko, Springer , 2009, s. 49-87Kapitel i bok, del av antologi (Refereegranskat)
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.

Ort, förlag, år, upplaga, sidor
Springer , 2009. s. 49-87
Serie
NATO Science for Peace and Security Series A: Chemistry and Biology, ISSN 1871-4641 ; XIV
Nyckelord [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
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Kemi med inriktning mot kvantkemi
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URN: urn:nbn:se:uu:diva-123697DOI: 10.1007/978-90-481-2590-6_4ISBN: 978-90-481-2482-4 (tryckt)ISBN: 978-90-481-2483-1 (tryckt)OAI: oai:DiVA.org:uu-123697DiVA, id: diva2:315376
Tillgänglig från: 2010-04-29 Skapad: 2010-04-29 Senast uppdaterad: 2011-03-21Bibliografiskt granskad

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