Deforming the point spectra of one-dimensional Dirac operators
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- by Gerald Teschl PDF
- Proc. Amer. Math. Soc. 126 (1998), 2873-2881
Abstract:
We provide a method of inserting and removing any finite number of prescribed eigenvalues into spectral gaps of a given one-dimensional Dirac operator. This is done in such a way that the original and deformed operators are unitarily equivalent when restricted to the complement of the subspace spanned by the newly inserted eigenvalue. Moreover, the unitary transformation operator which links the original operator to its deformed version is explicitly determined.References
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Additional Information
- Gerald Teschl
- Affiliation: Institut für Reine und Angewandte Mathematik, RWTH Aachen, 52056 Aachen, Germany
- Address at time of publication: Institut für Mathematik, Strudlhofgasse 4, 1090 Wien, Austria
- Email: gerald@mat.univie.ac.at
- Received by editor(s): February 18, 1997
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1998 by the author
- Journal: Proc. Amer. Math. Soc. 126 (1998), 2873-2881
- MSC (1991): Primary 34L40, 34L05; Secondary 34B05, 47B25
- DOI: https://doi.org/10.1090/S0002-9939-98-04362-7
- MathSciNet review: 1451831