Quantum Corrections to the Semiclassical Quantization of the SU(3) Shell Model
High Energy Physics - Theory
2015-06-26 v1 Nuclear Theory
Abstract
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.
Cite
@article{arxiv.hep-th/9507172,
title = {Quantum Corrections to the Semiclassical Quantization of the SU(3) Shell Model},
author = {V. R. Manfredi and L. Salasnich},
journal= {arXiv preprint arXiv:hep-th/9507172},
year = {2015}
}
Comments
LaTex, 17 pages, 1 figure (available upon request to the authors), to be published in Modern Physics Letters B