The SU(2) instanton and the adiabatic evolution of two Kramers doublets

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 ${\Gamma }_8\otimes ({\tau }_2\oplus \epsilon )$ 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.

14 pages Latex,no figures

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