<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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</p></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

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

Department of Mathematics, University of North Texas, Denton, TX 76203, USA

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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...

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

Published Online: May 17, 2013

Page range: 11 - 20

DOI: https://doi.org/10.2478/v10309-012-0035-2

Keywords
Magnetic Schrödinger operator, Magnetic field, Discrete spectrum, Dirac operator, Kähler manifold

This content is open access.

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

Published Online: May 17, 2013

Page range: 11 - 20

DOI: https://doi.org/10.2478/v10309-012-0035-2

KeywordsMagnetic Schrödinger operator, Magnetic field, Discrete spectrum, Dirac operator, Kähler manifold

This content is open access.

Keywords
Magnetic Schrödinger operator, Magnetic field, Discrete spectrum, Dirac operator, Kähler manifold