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An exactly solvable quantum-lattice model with a tunable degree of nonlocality
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SYSNO ASEP 0366126 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title An exactly solvable quantum-lattice model with a tunable degree of nonlocality Author(s) Znojil, Miloslav (UJF-V) RID, ORCID, SAI Source Title Journal of Physics A-Mathematical and Theoretical. - : Institute of Physics Publishing - ISSN 1751-8113
Roč. 44, č. 7 (2011), 075302/1-075302/20Number of pages 21 s. Language eng - English Country GB - United Kingdom Keywords NON-HERMITIAN HAMILTONIANS ; PSEUDO-HERMITICITY ; REAL SPECTRUM Subject RIV BE - Theoretical Physics R&D Projects GAP203/11/1433 GA ČR - Czech Science Foundation (CSF) LC06002 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) CEZ AV0Z10480505 - UJF-V (2005-2011) UT WOS 000286673200014 DOI 10.1088/1751-8113/44/7/075302 Annotation A non-Hermitian N-site-lattice Hamiltonian H with Laguerre-polynomial right eigenvectors and real energies is made self-adjoint in an ad hoc Hilbert space H((S)). The necessary physical inner products are defined via alternative k-parametric (2k + 1)-diagonal metrics Theta = Theta(k) constructed, in the closed form, at k = 0, k = 1, k = 2 and k = 3. The value of k is interpreted as a degree of nonlocality of the model. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2012
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