Scattering theory on graphs: II. The Friedel sum rule
نویسندگان
چکیده
منابع مشابه
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We consider the Friedel sum rule in the context of the scattering theory for the Schrödinger operator −D2 x + V (x) on graphs made of one-dimensional wires connected to external leads. We generalize the Smith formula for graphs. We give several examples of graphs where the state counting method given by the Friedel sum rule is not working. One of the reasons for the failure of the Friedel sum r...
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We consider the Friedel sum rule in the context of the scattering theory for the Schrödinger operator −D2 x + V (x) on graphs made of one-dimensional wires connected to external leads. We generalize the Smith formula for graphs. We give several examples of graphs where the state counting method given by the Friedel sum rule is not working. The reason for the failure of the Friedel sum rule to c...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2002
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/35/15/303