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
Dynamic Structure Factor for a Harmonic Oscillator and the Harmonic Oscillator Chain
β Scribed by A. Wierling; I. Sawada
- Publisher
- John Wiley and Sons
- Year
- 2012
- Tongue
- English
- Weight
- 169 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0005-8025
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β¦ Synopsis
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.
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