Non-Hermitian degeneracy of two unbound states
Quantum Physics
2009-11-13 v1
Abstract
We solved numerically the implicit, trascendental equation that defines the eigenenergy surface of a degenerating isolated doublet of unbound states in the simple but illustrative case of the scattering of a beam of particles by a double barrier potential. Unfolding the degeneracy point with the help of a contact equivalent approximant, crossings and anticrossings of energies and widths, as well as the changes of identity of the poles of the S-matrix are explained in terms of sections of the eigenenergy surfaces.
Keywords
Cite
@article{arxiv.quant-ph/0606239,
title = {Non-Hermitian degeneracy of two unbound states},
author = {E. Hernandez and A. Jauregui and A. Mondragon},
journal= {arXiv preprint arXiv:quant-ph/0606239},
year = {2009}
}
Comments
23 pages, 9 figures. To be published in J. of Physics A: Math. and Gen. Special issue: Pseudo-Hermitian Hamiltonians in Quantum Physics, August 2006