A simple model is constructed for tunneling two-level systems interacting with conduction electrons in metallic glasses. The coupling constants do not commute in momentum space. Scaling theory shows a strong similarity with the antiferromagnetic Kondo effect, and it is shown that at low temperature a bound state is formed in which the motion of the tunneling atom and the angular dependence of the screening electron cloud verying in time are strongly correlated.
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A. Zawadowski (1980) studied this question.
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