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Coherent states and asymptotic behavior of the symmetric top wave functions

✍ Scribed by E. V. Doktorov; I. A. Malkin; V. I. Man'ko

Publisher
John Wiley and Sons
Year
1975
Tongue
English
Weight
632 KB
Volume
9
Category
Article
ISSN
0020-7608

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✦ Synopsis

Abstract

Wave packets which may be considered as an analogue of the coherent states of the top are constructed. New integral representations are obtained for the D‐function; making use of those, various types of the asymptotic behaviour of the D‐function are obtained in the region of large quantum numbers.

πŸ“œ SIMILAR VOLUMES

A New Analysis of the Tippe Top: Asympto
A New Analysis of the Tippe Top: Asymptotic States and Liapunov Stability
✍ S. Ebenfeld; F. Scheck πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 901 KB

We study the asymptotic behaviour of a spinning top whose shape is spherical, while its mass distribution has axial symmetry only and which is subject to sliding friction on the plane of support (so-called tippe top). By a suitable choice of variables in the equations of motion we construct explicit