Non-Hermitian degeneracy of two unbound states

Details Non-Hermitian degeneracy of two unbound states Non-Hermitian degeneracy of two unbound states

2006-06-29

arxiv.org/abs/quant-ph/0606239v1

Physics

Quantum Physics

23 pages, 9 figures. To be published in J. of Physics A: Math. and Gen. Special issue: Pseudo-Hermitian Hamiltonians in Quantu

Scientific paper

10.1088/0305-4470/39/32/S11

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.

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