Hamiltonians for the Quantum Hall Effect on Spaces with Non-Constant Metrics

Details Hamiltonians for the Quantum Hall Effect on Spaces with Non-Constant Metrics Hamiltonians for the Quantum Hall Effect on Spaces with Non-Constant Metrics

2006-07-23

arxiv.org/abs/math-ph/0607051v1

Int.J.Theor.Phys.46:116-129,2007

Physics

Mathematical Physics

16 pages

Scientific paper

10.1007/s10773-006-9218-9

The problem of studying the quantum Hall effect on manifolds with nonconstant
metric is addressed. The Hamiltonian on a space with hyperbolic metric is
determined, and the spectrum and eigenfunctions are calculated in closed form.
The hyperbolic disk is also considered and some other applications of this
approach are discussed as well.

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