04-213 Johannes Kellendonk

Gap labelling and the pressure on the boundary (283K, pdf-file) Jul 14, 04

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Abstract. In quantum systems described by families of $1$-particle Schr\"odinger operators on half-spaces 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 constant magnetic field. The proof uses non-commutative topology.

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