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Harmonic oscillators and resonance series generated by a periodic unstable classical orbit

Author
Kazansky, A. K.
Published
Jan 1, 1995.
Physical Description
1 electronic document
Additional Creators
Ostrovsky, Valentin N.
Online Version

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Summary
The presence of an unstable periodic classical orbit allows one to introduce the decay time as a purely classical magnitude: inverse of the Lyapunov index which characterizes the orbit instability. The Uncertainty Relation gives the corresponding resonance width which is proportional to the Planck constant. The more elaborate analysis is based on the parabolic equation method where the problem is effectively reduced to the multidimensional harmonic oscillator with the time-dependent frequency. The resonances form series in the complex energy plane which is equidistant in the direction perpendicular to the real axis. The applications of the general approach to various problems in atomic physics are briefly exposed.
Other Subject(s)
Collection
NASA Technical Reports Server (NTRS) Collection.
Note
Document ID: 19950016582.
Accession ID: 95N22999.
NASA. Goddard Space Flight Center, Second International Workshop on Harmonic Oscillators (SEE N95-22957 07-74); NASA. Goddard Space.
Terms of Use and Reproduction
No Copyright.
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