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An exactly solvable quantum-lattice model with a tunable degree of nonlocality
- 1.0366126 - ÚJF 2012 RIV GB eng J - Journal Article
Znojil, Miloslav
An exactly solvable quantum-lattice model with a tunable degree of nonlocality.
Journal of Physics A-Mathematical and Theoretical. Roč. 44, č. 7 (2011), 075302/1-075302/20. ISSN 1751-8113. E-ISSN 1751-8121
R&D Projects: GA ČR GAP203/11/1433; GA MŠMT LC06002
Institutional research plan: CEZ:AV0Z10480505
Keywords : NON-HERMITIAN HAMILTONIANS * PSEUDO-HERMITICITY * REAL SPECTRUM
Subject RIV: BE - Theoretical Physics
Impact factor: 1.564, year: 2011
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.
Permanent Link: http://hdl.handle.net/11104/0201207
Number of the records: 1