2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/187235The 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 $Γ_8 \otimes(τ_2\oplusε)$ 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 figuresHigh Energy Physics - TheoryThe SU(2) instanton and the adiabatic evolution of two Kramers doubletstext