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Variational principles for eigenvalues of the Klein-Gordon equation

Langer, M. and Tretter, Christiane (2006) Variational principles for eigenvalues of the Klein-Gordon equation. Journal of Mathematical Physics, 47 (10). pp. 1-18. ISSN 0022-2488

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    Abstract

    In this paper variational principles for eigenvalues of an abstract model of the Klein-Gordon equation with electromagnetic potential are established. They are used to characterize and estimate eigenvalues in cases where the essential spectrum has a gap around 0, even in the presence of complex eigenvalues. As a consequence, a comparison between eigenvalues of the Klein-Gordon equation in R^d and eigenvalues of certain Schrödinger operators is obtained. The results are illustrated on examples including the Klein-Gordon equation with Coulomb and square-well potential.

    Item type: Article
    ID code: 4553
    Keywords: mathematical physics, Klein-Gordon equation, eigenvalues, numerical mathematics, Mathematics, Physics, Mathematical Physics, Statistical and Nonlinear Physics
    Subjects: Science > Mathematics
    Science > Physics
    Department: Faculty of Science > Mathematics and Statistics
    Related URLs:
      Depositing user: Strathprints Administrator
      Date Deposited: 01 Nov 2007
      Last modified: 28 Mar 2014 10:55
      URI: http://strathprints.strath.ac.uk/id/eprint/4553

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