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). 103506. ISSN 0022-2488 (https://doi.org/10.1063/1.2345108)

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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.

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• Item metadata

  Item type:	Article
  ID code:	4553
  Dates:	Date Event October 2006 Published
  Subjects:	Science > Mathematics Science > Physics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Strathprints Administrator
  Date deposited:	01 Nov 2007
  Last modified:	08 Apr 2024 16:00
  URI:	https://strathprints.strath.ac.uk/id/eprint/4553