Semiclassical quantization of the shell model

R. D. Williams, S. E. Koonin

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)72-92
Number of pages21
JournalNuclear Physics, Section A
Issue number1
StatePublished - Dec 20 1982

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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