The Stability Properties of a Nonlinear Harmonic Oscillator
β Scribed by R. Kosecki
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 157 KB
- Volume
- 187
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
The recurrance relation method is employed to determine the dynamic structure factor for the single harmonic oscillator and a linear chain of harmonic oscillators. Approximative schemes based on this approach are proposed. Comparison is made with exactly known results.
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 )
Arguments have been given by Greenspan [1] to suggest that the equation of motion for a relativistic harmonic oscillator is (1)
We consider a one-parameter family of Hamilton functions yielding the Newton equation of the harmonic oscillator, αΊ + Ο 2 x = 0. The parameter may be viewed as the speed of light c, the nonrelativistic limit c β β yielding the usual Hamiltonian. For c < β, the classical Hamiltonians are the product