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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On a class of magnetic Schrödinger operators with discrete spectrum
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by N. Anghel
Proc. Amer. Math. Soc. 140 (2012), 1613-1616
DOI: https://doi.org/10.1090/S0002-9939-2011-11517-X
Published electronically: December 23, 2011
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Abstract:

We introduce a class of magnetic Schrödinger operators in $\mathbf {R}^n$ which exhibit pure point spectrum in a fashion that is actually easy to check. This class is an adequate generalization of the more familiar two-dimensional setting, and the proof we give for its spectral discreteness is novel, based on the use of Euclidean Dirac operators coupled to vector potentials.
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Bibliographic Information
  • N. Anghel
  • Affiliation: Department of Mathematics, University of North Texas, Denton, Texas 76203
  • MR Author ID: 26280
  • Email: anghel@unt.edu
  • Received by editor(s): January 5, 2011
  • Published electronically: December 23, 2011
  • Communicated by: Varghese Mathai
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 140 (2012), 1613-1616
  • MSC (2010): Primary 35J10; Secondary 35P05, 47F05, 81V10
  • DOI: https://doi.org/10.1090/S0002-9939-2011-11517-X
  • MathSciNet review: 2869145