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Bounds for the point spectra of separated Dirac operators

  • Published:1981 Issue:1-2 Volume:88 Page:1-15
  • ISSN:0308-2105
  • Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
  • language:en
  • Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Evans W. D.,Harris B. J.

Abstract

SynopsisIn this paper real numbers A1, A2 are obtained which are such that for λ > A1 or λ < A2 there are no non-trivial solutions of the equationwhich are in L2(a,∞) for some a>0. Precise values for A1 and A2 are obtained in certain cases.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Eigenvalue accumulation for Dirac operators with spherically symmetric potential;Journal of Physics A: Mathematical and General;2004-08-25

2. Dense point spectrum for the one-dimensional Dirac operator with an electrostatic potential;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;1996

3. Bounds for the eigenvalues of separated Dirac operators;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;1983

4. Finiteness of Eigenvalues of the Perturbed Dirac Operator;Operator Theory, Analysis and Mathematical Physics
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