The effect of a uniform electric field on the time evolution of a single-electron wavefunction can be rigorously expressed by making use of the Avron-Herbst transformation. We extend the transformation to the quantized Schrödinger field for a many-electron system with an electron-electron interaction. The transformation for the time-ordered product of the Schrödinger field, which is the operator part of the Green function, is also derived.
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Toyoda et al. (1998) studied this question.
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