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Non-existence of eigenvalues of Dirac operators
Published online by Cambridge University Press: 14 November 2011
Synopsis
Absence of non-trivial square integrable solutions of the Dirac equation
for values of λ in half-rays is proved under local conditions on q, curl b, and the radial derivative of q. The Coulomb potential is admitted. Another result does not contain any growth condition on the radial derivative of q. It states that there are no solutions of integrable square other than the trivial solution if λ ε ℝ\ [−1, 1] and
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 89 , Issue 3-4 , 1981 , pp. 309 - 317
- Copyright
- Copyright © Royal Society of Edinburgh 1981
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