Article

**Proc. Amer. Math. Soc. 126, 2873-2881 (1998)**[DOI: 10.1090/S0002-9939-98-04362-7]

## Deforming the Point Spectra of One-Dimensional Dirac Operators

### Gerald Teschl

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.

** MSC91:** Primary 34L40, 34L05; Secondary 34B05, 47B25

**Keywords:** *Spectral theory, Dirac operators, eigenvalues*

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