Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 27

Magnetic Bloch Analysis and Bochner-Laplacians

J. Asch, H. Over and R. Seiler

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

---

No PostScript version available.

---