Quantum harmonic oscillator revisited: A Fourier transform approach
β Scribed by Ponomarenko, Sergey A.
- Book ID
- 115482162
- Publisher
- American Institute of Physics
- Year
- 2004
- Tongue
- English
- Weight
- 467 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0002-9505
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π SIMILAR VOLUMES
Because of the high degeneracy of hyperspherical harmonics, a method is needed for selecting the most important ones for inclusion in hyperangular basis sets. Such a method was developed by M. Fabre de la Ripelle, who showed that the most important harmonics are -projections of the product of the po
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