# Solvable quantum lattices with nonlocal non-Hermitian endpoint interactions

@article{Znojil2015SolvableQL, title={Solvable quantum lattices with nonlocal non-Hermitian endpoint interactions}, author={Miloslav Znojil}, journal={Annals of Physics}, year={2015}, volume={361}, pages={226-246} }

Abstract Discrete multiparametric 1D quantum well with P T -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…

## 3 Citations

On Some Aspects of Unitary Evolution Generated by Non-Hermitian Hamiltonians

- PhysicsIntegrability, Supersymmetry and Coherent States
- 2019

The possibility of nontrivial quantum-catastrophic effects caused by the mere growth of the imaginary component of a non-Hermitian but \({\mathcal {P}\mathcal {T}}\)-symmetric ad hoc…

Quantization of Big Bang in crypto-Hermitian Heisenberg picture

- Physics, Mathematics
- 2015

A background-independent quantization of the Universe near its Big Bang singularity is considered using a drastically simplified toy model. Several conceptual issues are addressed.
(1) The…

Two patterns of PT-symmetry breakdown in a non-numerical six-state simulation

- Physics, MathematicsAnnals of Physics
- 2018

Three-parametric family of non-Hermitian but ${\cal PT}-$symmetric six-by-six matrix Hamiltonians $H^{(6)}(x,y,z)$ is considered. The ${\cal PT}-$symmetry remains spontaneously unbroken (i.e., the…

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