Abstract
We shall briefly describe some spectral results on Schrödinger operators with a constant magnetic field on Riemann surfaces of finite volume. These essentially go back to some old results on automorphic forms of arbitrary real weight [14]. Their physical interpretation in the context of magnetic fields, however, is new and leads to some natural generalizations. We refer to our joint paper [3]for background and results. Detailed proofs shall be presented elsewhere [4].
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Klein, M. (1994). Hall conductance of Riemann surfaces. In: Demuth, M., Exner, P., Neidhardt, H., Zagrebnov, V. (eds) Mathematical Results in Quantum Mechanics. Operator Theory: Advances and Applications, vol 70. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8545-4_15
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DOI: https://doi.org/10.1007/978-3-0348-8545-4_15
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