- 96-646 Akkermans E., Avron J., Narevich R., Seiler, R.
- Boundary Conditions for Bulk and Edge States in Quantum Hall Systems
Dec 1, 96
(auto. generated ps),
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Abstract. For two dimensional Schr\"odinger Hamiltonians we formulate boundary
conditions that split the Hilbert space according to the chirality of the
eigenstates on the boundary. With magnetic fields, and in particular, for
Quantum Hall systems, this splitting corresponds to edge and bulk states.
Applications to the integer and fractional Hall effect and some open problems