منابع مشابه
Exceptional points in a microwave billiard with time-reversal invariance violation.
We report on the experimental study of an exceptional point (EP) in a dissipative microwave billiard with induced time-reversal invariance (T) violation. The associated two-state Hamiltonian is non-Hermitian and nonsymmetric. It is determined experimentally on a narrow grid in a parameter plane around the EP. At the EP the size of T violation is given by the relative phase of the eigenvector co...
متن کاملExceptional points in atomic spectra.
We report the existence of exceptional points for the hydrogen atom in crossed magnetic and electric fields in numerical calculations. The resonances of the system are investigated and it is shown how exceptional points can be found by exploiting characteristic properties of the degeneracies, which are branch point singularities. A possibility for the observation of exceptional points in an exp...
متن کاملQuantum chaos, degeneracies, and exceptional points.
The study of single particle motion in deformed mean fields has attracted much attention recently because of its relevance to nuclear physics and for the description of metallic clusters [1,2]. For the case of harmonic oscillator potentials, deformations which go beyond a quadrupole deformation are nonintegrable and show chaotic behaviour in the classical and quantum mechanical treatment. Howev...
متن کاملRepulsion of resonance states and exceptional points
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 anticrossing (crossing) must imply crossing (anticrossing) of the corresponding widths of the resonance states. Further, it is shown that an encircl...
متن کاملExceptional points in quantum and classical dynamics
We notice that, when a quantum system involves exceptional points, i.e. the special values of parameters where the Hamiltonian loses its self-adjointness and acquires the Jordan block structure, the corresponding classical system also exhibits a singular behaviour associated with restructuring of classical trajectories. The system with the crypto-Hermitian Hamiltonian H = (p + z)/2 − igz and hy...
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ژورنال
عنوان ژورنال: The European Physical Journal D - Atomic, Molecular and Optical Physics
سال: 2004
ISSN: 1434-6060,1434-6079
DOI: 10.1140/epjd/e2004-00049-7