NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Collections About News Help Login
Back to Results
Harmonic oscillators and resonance series generated by a periodic unstable classical orbitThe 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.
Document ID
19950016582
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Kazansky, A. K. (Saint Petersburg State Univ. Saint Petersburg, Russia)
Ostrovsky, Valentin N. (Saint Petersburg State Univ. Saint Petersburg, Russia)
Date Acquired
September 6, 2013
Publication Date
January 1, 1995
Publication Information
Publication: NASA. Goddard Space Flight Center, Second International Workshop on Harmonic Oscillators (SEE N95-22957 07-74)
Subject Category
Thermodynamics And Statistical Physics
Accession Number
95N22999
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

Related Records

IDRelationTitle19950016396Collected WorksAddendum to the Proceedings of the Third International Mobile Satellite Conference (IMSC 1993)
No Preview Available