Magnetic Bloch analysis and Bochner Laplacians

Asch, J.; Over, Herbert; Seiler, R.

doi:10.1016/0393-0440(94)90035-3

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Magnetic Bloch analysis and Bochner Laplacians

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Over, Herbert
Physical Chemistry, Fritz Haber Institute, Max Planck Society;

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Citation

Asch, J., Over, H., & Seiler, R. (1994). Magnetic Bloch analysis and Bochner Laplacians. Journal of Geometry and Physics, 13(3), 275-288. doi:10.1016/0393-0440(94)90035-3.

Cite as: https://hdl.handle.net/21.11116/0000-0009-98C4-E

Abstract

Hamiltonians for a particle on a manifold in a magnetic field are constructed as Bochner Laplacians. We show for the case of a torus and a given magnetic field that they are in one to one correspondence with the constituents in the Bloch decomposition of the unique Hamiltonian on the universal covering.