## Abstract Two general harmonic oscillator elements \documentclass{article}\pagestyle{empty}\begin{document}$$ \left\langle m \right|\hat x^s \hat p\left| n \right\rangle $$\end{document} and \documentclass{article}\pagestyle{empty}\begin{document}$$ \left\langle m \right|\exp \left[ { - \alpha \l
Generating function for rotation matrix elements
✍ Scribed by S. Ö. Akdemir; E. Öztekin
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 217 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0020-7608
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
The rotation matrix elements are expressed in terms of the Jacobi, Hypergeometric, and Legendre polynomials in the literature. In this study, the generating function is presented for rotation matrix elements by using properties of Jacobi polynomials. In addition, some special values and Rodrigues' formula of rotation matrix elements are obtained by using the generating function. © 2011 Wiley Periodicals, Inc. Int J Quantum Chem, 2012
📜 SIMILAR VOLUMES
Title of program: rotation matrix elements D ## Method of solution The reduced matrix elements ~are homogeneous poly-Catalogue number: AABI nomials of degree 2j on the variables cos ~fland sin ~fi.With the phase convention of Wigner [1],namely: Program obtainable from: CPC Program Library, Queen'
## Nature of physical problem The vibration-rotational matrix elements for infrared or Raversity of Belfast, N. Ireland (see application form in this man transitions aJ -~v'J' of diatomic molecules are calculated issue) for powers of the reduced displacement X from parameters of the Dunham potent