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

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

1997-01-17

arxiv.org/abs/hep-th/9701086v1

J.Phys.A30:2085-2092,1997

Physics

High Energy Physics

High Energy Physics - Theory

14 pages Latex,no figures

Scientific paper

10.1088/0305-4470/30/6/029

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.

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