Magnetic Schrödinger Operators with Discrete Spectra on Non-Compact Kähler Manifolds

Nicolae Anghel

doi:10.2478/v10309-012-0035-2

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Magnetic Schrödinger Operators with Discrete Spectra on Non-Compact Kähler Manifolds

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 20 (2012): Issue 2 (June 2012)

By: Nicolae Anghel

Open Access

|May 2013

Abstract

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

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