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

M. T. Johnsson; I. J R Aitchison

doi:10.1088/0305-4470/30/6/029

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 journal › Article › peer-review

13 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 language	English
Pages (from-to)	2085-2092
Number of pages	8
Journal	Journal of Physics A: Mathematical and General
Volume	30
Issue number	6
DOIs	https://doi.org/10.1088/0305-4470/30/6/029
Publication status	Published - 21 Mar 1997
Externally published	Yes

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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.",

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N2 - 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.

AB - 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.

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JF - Journal of Physics A: Mathematical and General

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ER -

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

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