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Non-Selfadjoint Opertors in Quantum Physics: Mathematical Aspects
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SYSNO ASEP 0458004 Document Type M - Monograph Chapter R&D Document Type The record was not marked in the RIV Title Elements of Spectral Theory without the Spectral Theorem Author(s) Krejčiřík, David (UJF-V) RID
Siegl, Petr (UJF-V) RIDNumber of authors 2 Source Title Non-Selfadjoint Opertors in Quantum Physics: Mathematical Aspects, 1. - New Jersey : John Wiley & Sons, Inc., 2015 - ISBN 978-1-118-85528-7 Pages s. 233-282 Number of pages 50 s. Number of copy 200 Number of pages 432 Publication form Print - P Language eng - English Country US - United States Keywords Hilbert Spaces ; operators ; theorem Subject RIV BE - Theoretical Physics Institutional support UJF-V - RVO:61389005 Annotation Many physical systems can be described by partial differential equations and the latter can often be viewed as generating abstract operators between Banach spaces. A typical example is quantum mechanics where the traditional mathematical discipline is the functional analysis of self-adjoint operators in Hilbert spaces. There are also effective models (typically describing open quantum systems, including non-real fields or complex boundary conditions) or more generally non-conservative processes in Nature on the whole where the underlying operator is non-self-adjoint. More intrinsically, there have been recent attempts to build quantum mechanics with physical observables represented by non-self-adjoint operators. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2016
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