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    Topological quantization of boundary forces and the integrated density of states

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    For quantum systems described by Schr\"odinger operators on the half-space \RR^{d-1}\times\RR^{leq 0} the boundary force per unit area and unit energy is topologically quantised provided the Fermi energy lies in a gap of the bulk spectrum. Under this condition it is also equal to the integrated density of states at the Fermi energy.Comment: 7 page
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