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Solvable quantum lattices with nonlocal non-Hermitian endpoint interactions
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SYSNO ASEP 0448980 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Solvable quantum lattices with nonlocal non-Hermitian endpoint interactions Author(s) Znojil, Miloslav (UJF-V) RID, ORCID, SAI Number of authors 1 Source Title Annals of Physics. - : Elsevier - ISSN 0003-4916
Roč. 361, OCT (2015), s. 226-246Number of pages 21 s. Publication form Print - P Language eng - English Country US - United States Keywords exactly solvable quantum models ; non-Hermitian boundary conditions ; new nonlocal boundary conditions ; physical inner products Subject RIV BE - Theoretical Physics Institutional support UJF-V - RVO:61389005 UT WOS 000360418800016 EID SCOPUS 84936990053 DOI 10.1016/j.aop.2015.06.019 Annotation Discrete multiparametric 1D quantum well with PT-symmetric long-range boundary conditions is proposed and studied. As a nonlocal descendant of the square well families endowed with Dirac (i.e., Hermitian) and with complex Robin (i.e., non-Hermitian but still local) boundary conditions, the model is shown characterized by the survival of solvability in combination with an enhanced spectral-design flexibility. The solvability incorporates also the feasibility of closed-form constructions of the physical Hilbert-space inner products rendering the time-evolution unitary. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2016
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