Abstract
The space-time expression for the nonlocal image potential of a charged particle near a metal surface is derived using path integral methods. The image potential is assumed to arise from the particle-surface-plasmon interaction. In the case of a field emission configuration we find that an electron tunneling through a potential barrier experiences an image potential whose magnitude is less than the classical value of e 2/4z. If an electron passes over the barrier (due to photo absorption) it feels an image potential whose magnitude is greater than e 2/4z. The theory exhibits no evidence of the experimentally observed oscillations in the photocurrent as a function of the applied electric field.
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