Solvable quantum lattices with nonlocal non-Hermitian endpoint interactions
Mathematical Physics
2015-07-16 v1 math.MP
Quantum Physics
Abstract
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.
Keywords
Cite
@article{arxiv.1506.00216,
title = {Solvable quantum lattices with nonlocal non-Hermitian endpoint interactions},
author = {Miloslav Znojil},
journal= {arXiv preprint arXiv:1506.00216},
year = {2015}
}
Comments
32 pages, 9 figures