MAGNETIC BLOCH ANALYSIS AND BOCHNER LAPLACIANS

Authors
ASCH J OVER H SEILER R
Citation
J. Asch et al., MAGNETIC BLOCH ANALYSIS AND BOCHNER LAPLACIANS, Journal of geometry and physics, 13(3), 1994, pp. 275-288
Citations number
17
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical
Journal title
Journal of geometry and physics → ACNP
ISSN journal
03930440
Volume
13
Issue
3
Year of publication
1994
Pages
275 - 288
Database
ISI
SICI code
0393-0440(1994)13:3<275:MBAABL>2.0.ZU;2-Q
Abstract
Hamiltonians for a particle on a manifold in a magnetic field are cons tructed as Bochner Laplacians. We show for the case of a torus and a g iven magnetic field that they are in one to one correspondence with th e constituents in the Bloch decomposition of the unique Hamiltonian on the universal covering.