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- W3216095384 abstract "The Bott index of two unitary operators on an infinite dimensional Hilbert space is defined. homotopic invariance with respect to multiplicative unitary perturbations of the type identity plus trace class and the logarithmic law for the index are proven. The index and its properties are then extended to the case of a pair of invertible operators. An application to the physics of two dimensional quantum systems proves that the index is equal to the Chern number therefore showing that the transverse Hall conductance is an integer." @default.
- W3216095384 created "2021-12-06" @default.
- W3216095384 creator A5071730483 @default.
- W3216095384 date "2021-12-02" @default.
- W3216095384 modified "2023-09-27" @default.
- W3216095384 title "The Bott index of two unitary operators and the integer quantum Hall effect" @default.
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