English

An explicitly solvable model of the spontaneous PT-symmetry breaking

Quantum Physics 2007-05-23 v1

Abstract

We contemplate the pair of the purely imaginary delta-function potentials on a finite interval with Dirichlet boundary conditions. The two parameter model exhibits nicely the expected quantitative features of the unavoided level crossing and of a "phase-transition" complexification of the energies. Combining analytic and numerical techniques we investigate strength- and position-dependence of its spectrum.

Keywords

Cite

@article{arxiv.quant-ph/0507132,
  title  = {An explicitly solvable model of the spontaneous PT-symmetry breaking},
  author = {Vit Jakubsky and Miloslav Znojil},
  journal= {arXiv preprint arXiv:quant-ph/0507132},
  year   = {2007}
}

Comments

presented in the int. conference "Pseudo-Hermitian Hamiltonians in Quantum Physics III" (Instanbul, Koc University, June 20 - 22, 2005). accepted in Czechoslovak J. Phys