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}
}
  • M. Znojil
  • Published 31 May 2015
  • Physics, Mathematics
  • Annals of Physics
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… 
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