On the extended Feynman formula for the harmonic oscillator
β Scribed by J.Q. Liang; G. Morandi
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 344 KB
- Volume
- 160
- Category
- Article
- ISSN
- 0375-9601
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π SIMILAR VOLUMES
The relativistic harmonic oscillator is solved by an inverse fractional power series as has been done for the simple pendulum. The striking similarity of these two kinds of non-linear motion is thus demonstrated. The entire analysis is amply dealt with, without resort to elliptic integrals.
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.