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Harmonic oscillators and resonance series generated by a periodic unstable classical orbit
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Kazansky, A. K. Ostrovsky, Valentin N. |
| Copyright Year | 1995 |
| Description | 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. |
| File Size | 681702 |
| Page Count | 10 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19950016582 |
| Archival Resource Key | ark:/13960/t6b32sq08 |
| Language | English |
| Publisher Date | 1995-01-01 |
| Access Restriction | Open |
| Subject Keyword | Thermodynamics And Statistical Physics Atomic Physics Time Dependence Orbits Resonance Frequencies Harmonic Oscillators Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Article |
