9909047v1

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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