- 96-495 Gerald Teschl
- Deforming the point spectra of one-dimensional Dirac operators
(28K, LaTeX2e)
Oct 21, 96
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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 operator 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.
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96-495.tex