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
This publication has 7 references indexed in Scilit:
- Nuclear rotational-vibrational collective motion with nonvanishing vortex-spinAnnals of Physics, 1976
- Rotational motion in nucleiReviews of Modern Physics, 1976
- Collective motions in nuclei and the spectrum generating algebras T5 × SO(3), GL(3,R), and CM(3)Canadian Journal of Physics, 1976
- Collective and Single-Particle Coordinates in Nuclear PhysicsJournal of Mathematical Physics, 1971
- How do deformed nuclei rotate?Nuclear Physics A, 1970
- Unified theory of nuclear rotationsAnnals of Physics, 1970
- The Collective Model of NucleiAnnual Review of Nuclear Science, 1957