1996/10/14 by M. Trindade dos Santos, Santos, M. Trindade dos, M. C. Nemes +1
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph) #chao-dyn #hep-th #nlin.CD #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/9610020
25 pages, LaTeX, 11 (new version) figures
arxiv created 1996/10/18 · arxiv updated 2009/11/30
We show how nonrelativistic many body techniques can be used to study quantum corrections to the classical limit, in particular of the SU(2) Lipkin Model. We show that the quantum corrections are essentially of two types: unitary and nonunitary. In this work we perform a detailed study of the unitary corrections. They can be cast in Hamiltonian form and are shown to double the number of degrees of freedom. As a consequence chaotic behavior emerges. We show that this semiquantal chaos is the mechanism trough which tunneling is effected. We also show that these corrections systematically improve the classical results and propose some quantitative measure of this improvement.