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- Title
Resonant Excitation of an Oscillator with Randomly Shifted Levels.
- Authors
Dmitriev, A. P.
- Abstract
The problem of resonant excitation of a harmonic oscillator whose energy levels are slightly shifted is solved. It is shown that, in this case, there exists a threshold magnitude of the exciting resonance field, below which the excitation is localized on lower levels, and above which the oscillator is indefinitely excited so that it is necessary to take into account dissipative processes. A method similar to that developed for the oscillator is applied to examine the localization of electrons in a wire with cross section varying along its length. It is shown, in particular, that there is no localization if this variation is superlinear.
- Subjects
HARMONIC oscillators; RESONANCE; ELECTRONS
- Publication
JETP Letters, 2021, Vol 113, Issue 2, p127
- ISSN
0021-3640
- Publication type
Article
- DOI
10.1134/S0021364021020016