Geometric derivation of the kinetic energy in collective models
- 1 March 1979
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 20 (3) , 465-468
- https://doi.org/10.1063/1.524097
Abstract
A separation of the many‐particle kinetic energy into collective and intrinsic components is shown to result simply from a general form of the Laplace–Beltrami operator. The geometric structure of the decomposition is thereby clearly exhibited and the intricate computations previously necessary are eliminated.Keywords
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