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Hermitian-Non-Hermitian Interfaces in Quantum Theory
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SYSNO ASEP 0490005 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Hermitian-Non-Hermitian Interfaces in Quantum Theory Author(s) Znojil, Miloslav (UJF-V) RID, ORCID, SAI Number of authors 1 Article number 7906536 Source Title Advances in High Energy Physics. - : Hindawi - ISSN 1687-7357
Roč. 2018, č. 4 (2018)Number of pages 13 s. Publication form Print - P Language eng - English Country GB - United Kingdom Keywords quantum theory ; Hermitian operators ; non-Hermitian Subject RIV BE - Theoretical Physics OECD category Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect) R&D Projects GA16-22945S GA ČR - Czech Science Foundation (CSF) Institutional support UJF-V - RVO:61389005 UT WOS 000431590500001 EID SCOPUS 85046634332 DOI 10.1155/2018/7906536 Annotation In the global framework of quantum theory, the individual quantum systems seem clearly separated into two families with the respective manifestly Hermitian and hiddenly Hermitian operators of their Hamiltonian. In the light of certain preliminary studies, these two families seem to have an empty overlap. In this paper, we will show that whenever the interaction potentials are chosen to be weakly nonlocal, the separation of the two families may disappear. The overlaps alias interfaces between the Hermitian and non-Hermitian descriptions of a unitarily evolving quantum system in question may become nonempty. This assertion will be illustrated via a few analytically solvable elementary models. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2019
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