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

M. T. Johnsson*, I. J R Aitchison

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

The adiabatic evolution of two doubly degenerate (Kramers) levels is considered. The general five-parameter Hamiltonian describing the system is obtained and is shown to be equivalent to one used in the Γ8 ⊗ (τ2 ⊗ ∈) 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.

Original languageEnglish
Pages (from-to)2085-2092
Number of pages8
JournalJournal of Physics A: Mathematical and General
Volume30
Issue number6
DOIs
Publication statusPublished - 21 Mar 1997
Externally publishedYes

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