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- W1994236430 abstract "The induced non-Abelian gauge structure of the effective Hamiltonian arising from the Born-Oppenheimer approximation is investigated. It is shown that the trace of the electric part of the gauge potential is related to the natural metric on the complex Grassmannian of Hilbert subspaces. Our results are illustrated by a simple example yielding SU(2) gauge fields (instantons), and the corresponding electric gauge potential. The latter gives a contribution to the induced effective scalar potential. Electric gauge potentials associated with higher-dimensional monopoles are also obtained. For systems exhibiting such gauge structure it is shown that the sign of the effective scalar potential depends on the Abelian or non-Abelian character of the gauge group." @default.
- W1994236430 created "2016-06-24" @default.
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- W1994236430 date "1992-02-01" @default.
- W1994236430 modified "2023-10-03" @default.
- W1994236430 title "Non-Abelian Born-Oppenheimer electric gauge force and the natural metric on Hilbert subspaces" @default.
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- W1994236430 doi "https://doi.org/10.1103/physreva.45.1339" @default.
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