Abstract
The classical limit of the nuclear shell model is shown to be a many-dimensional hamiltonian system in which the coordinates and momenta are the coherent-state parameters of the original quantum system. Several methods for semiclassical quantization of this system are discussed, including surfaces of section and the Birkhoff-Gustavson transformation to action-angle variables. Application to a schematic three-level shell model indicates some of the new problems involved in requantizing multi-dimensional systems which are not present in one-dimensional examples. These include difficulties in finding periodic orbits and the onset of stochasticity.
Original language | English (US) |
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Pages (from-to) | 72-92 |
Number of pages | 21 |
Journal | Nuclear Physics, Section A |
Volume | 391 |
Issue number | 1 |
DOIs | |
State | Published - Dec 20 1982 |
ASJC Scopus subject areas
- Nuclear and High Energy Physics