Magnetic Schrödinger Operators with Discrete Spectra on Non-Compact Kähler Manifolds
| May 17, 2013
Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică
Proceedings of the 10th International Workshop on Differential Geometry and its Applications
Published Online: May 17, 2013
Page range: 11 - 20
DOI: https://doi.org/10.2478/v10309-012-0035-2
Keywords
This content is open access.
We identify a class of magnetic Schrödinger operators on Käler manifolds which exhibit pure point spectrum. To this end we embed the Schröinger problem into a Dirac-type problem via a parallel spinor and use a Bochner-Weitzenböck argument to prove our spectral discreteness criterion