Magnetic Schrödinger Operators with Discrete Spectra on Non-Compact Kähler Manifolds
| 17 may 2013
Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică
Proceedings of the 10th International Workshop on Differential Geometry and its Applications
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Publicado en línea: 17 may 2013
Páginas: 11 - 20
DOI: https://doi.org/10.2478/v10309-012-0035-2
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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