Quantum Corrections to the Semiclassical Quantization of the SU(3) Shell Model

Details Quantum Corrections to the Semiclassical Quantization of the SU(3) Shell Model Quantum Corrections to the Semiclassical Quantization of the SU(3) Shell Model

1995-07-31

arxiv.org/abs/hep-th/9507172v1

Int.J.Mod.Phys. B9 (1995) 3219-3227

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 17 pages, 1 figure (available upon request to the authors), to be published in Modern Physics Letters B

Scientific paper

We apply the canonical perturbation theory to the semi--quantal hamiltonian of the SU(3) shell model. Then, we use the Einstein--Brillowin--Keller quantization rule to obtain an analytical semi--quantal formula for the energy levels, which is the usual semi--classical one plus quantum corrections. Finally, a test on the numerical accuracy of the semiclassical approximation and of its quantum corrections is performed.

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