The process of determining equations of motion of a system consisting of rigid bodies and springs is often extremely laborious. In this paper, a method is presented whereby all terms of a system of equations for planar ri.qid body systems are calculated systematically. It is assumed that the system
Application of Huang-Yang pseudopotential to a few-body system
✍ Scribed by J. S. Levinger
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 491 KB
- Volume
- 509
- Category
- Article
- ISSN
- 0003-3804
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
Huang and Yang replace a hard core of radius c by their pseudopotential (HYPP), which can be used in perturbation theory. I show that HYPP and boundary value perturbation theory give the same energy shift, to first order in c. I model a two‐body potential as an oscillator potential (angular frequency ω) and a hard core. For an A‐body system, the ratio of the first order energy correction to the unperturbed energy is 0.448 A^3/4^ c a, where a = (M ω/2__h__)^1/2^.
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