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Non-existence of eigenvalues of Dirac operators

Published online by Cambridge University Press:  14 November 2011

Hubert Kalf
Hubert Kalf
Affiliation:
Fachbereich Mathematik, Technische Hochschule Darmstadt, 6100 Darmstadt, Schlossgartenstrasse 7, B.R.D.
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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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