Geometric Construction of the Quantum Hall Effect in Higher Dimensions
نویسنده
چکیده
A clean geometric construction is presented for the recent generalization of the Quantum Hall Effect to higher dimensional spaces. A very explicit formula is derived for the Hamiltonian in the generalized Quantum Hall Effect. This explicit formula suggests that the quantum Hall effect in even dimensions larger than two turns out to be simply copies of the two-dimensional effect.
منابع مشابه
Geometric construction of the Quantum Hall Effect in all even dimensions
The Quantum Hall Effects in all even dimensions are uniformly constructed. Contrary to some recent accounts in the literature, the existence of Quantum Hall Effects does not crucially depend on the existence of division algebras. For QHE on flat space of even dimensions, both the Hamiltonians and the ground state wave-functions for a single particle are explicitly described. This explicit descr...
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