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تسجيل مستخدم جديدGaplessness of Landau Hamiltonians on hyperbolic half-planes via coarse geometry
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We use coarse index methods to prove that the Landau Hamiltonian on the hyperbolic half-plane, and even on much more general imperfect half-spaces, has no spectral gaps. Thus the edge states of hyperbolic quantum Hall Hamiltonians completely fill up the gaps between Landau levels, just like those of the Euclidean counterpart.
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