Journalartikel

Jahr der Veröffentlichung: 1994

Seiten: 275-288

Zeitschrift: Journal of Geometry and Physics

Bandnummer: 13

Heftnummer: 3

DOI Link: https://doi.org/10.1016/0393-0440(94)90035-3

Verlag: Elsevier

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.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.

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

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