An exactly solvable quantum-lattice model with a tunable degree of nonlocality

0366126 - ÚJF 2012 RIV GB eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR GAP203/11/1433; GA MŠMT LC06002
Výzkumný záměr: CEZ:AV0Z10480505
Klíčová slova: NON-HERMITIAN HAMILTONIANS * PSEUDO-HERMITICITY * REAL SPECTRUM
Kód oboru RIV: BE - Teoretická fyzika
Impakt faktor: 1.564, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0201207