The SU(2) instanton and the adiabatic evolution of two Kramers doublets
High Energy Physics - Theory
2008-11-26 v1
Abstract
The adiabatic evolution of two doubly-degenerate (Kramers) levels is considered. The general five-parameter Hamiltonian describing the system is obtained and shown to be equivalent to one used in the Jahn-Teller system. It is shown explicitly that the resulting SU(2) non-Abelian geometric vector potential is that of the (SO(5) symmetric) SU(2) instanton. Various forms of the potentials are discussed.
Keywords
Cite
@article{arxiv.hep-th/9701086,
title = {The SU(2) instanton and the adiabatic evolution of two Kramers doublets},
author = {M. T. Johnsson and I. J. R. Aitchison},
journal= {arXiv preprint arXiv:hep-th/9701086},
year = {2008}
}
Comments
14 pages Latex,no figures