|
| related topics |
| {energy, state, states} |
| {operator, operators, space} |
| {equation, function, exp} |
| {wave, scattering, interference} |
| {phase, path, phys} |
| {group, space, representation} |
| {let, theorem, proof} |
| {cos, sin, state} |
| {measurement, state, measurements} |
|
Non-Hermitian degeneracy of two unbound states
E. Hernandez, A. Jauregui, A. Mondragon
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0606239
- categories:
- quant-ph
- 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
- doi:
- 10.1088/0305-4470/39/32/S11
- arxiv_id:
- quant-ph/0606239
- created:
- 2006-06-28
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