Alternative forms for the promoting interaction in radiationless transitions

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Abstract
Alternative forms for the radiationless transition rate in the adiabatic coupling scheme are derived, with a minimum of special assumptions, for the case of coupling to several distinct promoting and accepting coordinates. Their relation to the static coupling scheme is discussed. The resulting expressions are suitable for use with state-of-the-art electronic structure calculations, i.e. not merely model systems. The appropriate application of pseudopotential theory in this context is considered.