Quantum Theory of a Randomly Modulated Harmonic Oscillator
β Scribed by Crosignani, Bruno; Di Porto, Paolo; Solimeno, Salvatore
- Book ID
- 121000449
- Publisher
- The American Physical Society
- Year
- 1969
- Tongue
- English
- Weight
- 518 KB
- Volume
- 186
- Category
- Article
- ISSN
- 0031-899X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Ε½ 4 . Numerical experiments with a nonlinear x oscillator which has its harmonic frequency changing randomly with time reveal certain interesting features of its dynamics of quantum evolution. When s 0, the level populations are seen to oscillate. But, as the Ε½ . nonlinear coupling is switched on )
We show that a linear quantum harmonic oscillator is chaotic in the sense of Li-Yorke. We also prove that the weighted backward shift map (used as an infinite-dimensional linear chaos model) in a separable Hilbert space is chaotic in the sense of Li-Yorke, in addition to being chaotic in the sense o