Rotation numbers, boundary forces and gap labelling
نویسندگان
چکیده
منابع مشابه
Rotation numbers, boundary forces and gap labelling
We review the Johnson–Moser rotation number and the K0-theoretical gap labelling of Bellissard for one-dimensional Schrödinger operators. We compare them with two further gap labels, one being related to the motion of Dirichlet eigenvalues, the other being a K1-theoretical gap label. We argue that the latter provides a natural generalization of the Johnson–Moser rotation number to higher dimens...
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In quantum systems described by families of 1-particle Schrödinger operators on halfspaces the pressure on the boundary per unit energy is topologically quantised if the Fermi energy lies in a gap of the bulk spectrum. Its relation with the integrated density of states can be expressed in an integrated version of Streda’s formula. This leads also to a gap labelling theorem for systems with cons...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2005
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/38/18/005