151. Magnetic Bloch analysis and Bochner Laplacians
- Author
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Ruedi Seiler, Herbert Over, and J. Asch
- Subjects
symbols.namesake ,Mathematical analysis ,symbols ,Bijection ,General Physics and Astronomy ,Torus ,Geometry and Topology ,Hamiltonian (quantum mechanics) ,Mathematics::Symplectic Geometry ,Mathematical Physics ,Magnetic field ,Mathematics ,Mathematical physics - 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.
- Published
- 1994
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