Solvable quantum lattices with nonlocal non-Hermitian endpoint interactions

0448980 - ÚJF 2016 RIV US eng J - Článek v odborném periodiku
Znojil, Miloslav
Solvable quantum lattices with nonlocal non-Hermitian endpoint interactions.
Annals of Physics. Roč. 361, OCT (2015), s. 226-246. ISSN 0003-4916. E-ISSN 1096-035X
Institucionální podpora: RVO:61389005
Klíčová slova: exactly solvable quantum models * non-Hermitian boundary conditions * new nonlocal boundary conditions * physical inner products
Kód oboru RIV: BE - Teoretická fyzika
Impakt faktor: 2.375, rok: 2015

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.
Trvalý link: http://hdl.handle.net/11104/0250612