“School of Nano-Sciences”
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| Paper IPM / Nano-Sciences / 8419 |
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| Abstract: | |
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The Budd Vannimenus theorem for jellium surface is generalized for stepped surfaces of jellium. Our sum rules show that the average value of the electrostatic potential over the stepped jellium surface equals the value of the potential at the corresponding flat jellium surface. Several sum rules are tested with numerical results obtained within the Thomas Fermi model of stepped surfaces.
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