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Resonances in the two-center Coulomb problem and unstable periodic orbits

Broad resonance states associated with unstable periodic orbits in the two-center Coulomb problem are studied using a quantization scheme in which the real part of each resonance energy is determined by a Bohr-Sommerfeld-type loop integral over a periodic orbit and the imaginary part of the resonanc...

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Bibliographic Details
Published in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 1990-10, Vol.42 (7), p.4381-4384
Main Authors: Du, ML, Kazansky, AK, Ostrovsky, VN
Format: Article
Language:English
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Summary:Broad resonance states associated with unstable periodic orbits in the two-center Coulomb problem are studied using a quantization scheme in which the real part of each resonance energy is determined by a Bohr-Sommerfeld-type loop integral over a periodic orbit and the imaginary part of the resonance energy is related to the Lyapunov index of the periodic orbit.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.42.4381