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| Main Author: | |
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| Format: | Artículo científico |
| Language: | en |
| Published: |
Sociedad Mexicana de Física A.C.
2008
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| Subjects: | |
| Online Access: | https://www.redalyc.org/articulo.oa?id=57054212 |
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Table of Contents:
- Rotational states of asymmetric molecules revisited: matrix evaluation and generating function of Lamé functions R. Méndez-Fragoso E. Ley-Koo Física, Astronomía y Matemáticas Lamé functions rotation spectra matrix evaluation spherical harmonics generating function The solutions of the Schrödinger equation describing rotational states of asymmetric molecules are known to be separable as products ofLamé functions in spheroconal coordinates. However, the numerical evaluation of such solutions has not been implemented in efficient andpractical ways. This paper overcomes this deficiency by presenting a matrix method for evaluating the needed Lamé functions, in their twokinds and eight species, to obtain accurate energy eigenvalues and eigenfunctions for the rotational states of molecules with any asymmetry.A generating function for these eigenfunctions, including its series expansions for any asymmetry, is also presented 2008 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57054212 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.2 Vol.54