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Dynamics of four particles in hyperspherical coordinates

✍ Scribed by X. Chapuisat; J.P. Brunet; A. Nauts

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
631 KB
Volume
136
Category
Article
ISSN
0009-2614

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✦ Synopsis

A possible extension to four particles of the hyperspherical coordinates initially introduced by Smith and Whitten for three particles is presented. Corresponding exact classical and quantum-mechanical Hamiltonians are then derived.

πŸ“œ SIMILAR VOLUMES

Classical four-body problem in hypersphe
Classical four-body problem in hyperspherical coordinates
✍ M. W. Cadilhe; J. J. Soares Neto πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 179 KB

In this study we have developed the classical four-body problem using Β¨w a system of hyperspherical coordinates proposed by Ohrn and Linderberg Mol. Phys. 49, Ε½ .x 53 1982 . Expressions are given for the canonical momenta, principal moments of inertia, total angular momentum, kinetic energy, and, fi