|
related topics |
{energy, state, states} |
{wave, scattering, interference} |
{operator, operators, space} |
{particle, mechanics, theory} |
{cos, sin, state} |
{equation, function, exp} |
{level, atom, field} |
{phase, path, phys} |
{cavity, atom, atoms} |
{theory, mechanics, state} |
|
Repulsion of Resonance States and Exceptional Points
W. D. Heiss
abstract: Level repulsion is associated with exceptional points which are square root
singularities of the energies as functions of a (complex) interaction
parameter. This is also valid for resonance state energies. Using this concept
it is argued that level anti-crossing (crossing) must imply crossing
(anti-crossing) of the corresponding widths of the resonance states. Further,
itis shown that an encircling of an exceptional point induces a phase change of
one wave function but not of the other. An experimental setup is discussed
where this phase behaviour which differs from the one encountered at a diabolic
point can be observed.
- oai_identifier:
- oai:arXiv.org:quant-ph/9909047
- categories:
- quant-ph
- comments:
- 4 pages, latex, 3 figures, to appear in Phys.Rev.E
- doi:
- 10.1103/PhysRevE.61.929
- arxiv_id:
- quant-ph/9909047
- created:
- 1999-09-15
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