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Discrete quantum square well of the first kind
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SYSNO ASEP 0365427 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Discrete quantum square well of the first kind Author(s) Znojil, Miloslav (UJF-V) RID, ORCID, SAI Source Title Physics Letters. A. - : Elsevier - ISSN 0375-9601
Roč. 375, č. 25 (2011), s. 2503-2509Number of pages 8 s. Language eng - English Country NL - Netherlands Keywords NON-HERMITIAN HAMILTONIANS ; PSEUDO-HERMITICITY ; REAL SPECTRUM ; PT-SYMMETRY Subject RIV BE - Theoretical Physics R&D Projects GAP203/11/1433 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10480505 - UJF-V (2005-2011) UT WOS 000292420400005 DOI 10.1016/j.physleta.2011.05.027 Annotation A new exactly solvable cryptohermitian quantum chain model is proposed and analyzed. Its discrete-square-well-like Hamiltonian with the real spectrum possesses a manifestly non-Hermitian form. It is only made self-adjoint by the constructive transition to an ad hoc Hilbert space. Such a space (i.e., the closed form of its inner product, i.e., the "metric" Theta) varies with an N-plet of optional parameters. The simplicity of our model enables one to obtain the complete family of these physics-determining metrics Theta in a user-friendly band-matrix closed form. (C) 2011 Elsevier B.V. All rights reserved. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2012
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