Inverse spectral problems for Dirac operators with summable matrix-valued potentials

D. V. Puyda

doi:10.1007/s00020-012-2001-9

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arXiv · 1205.2250

Inverse spectral problems for Dirac operators with summable matrix-valued potentials

D. V. Puyda

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Abstract

We consider the direct and inverse spectral problems for Dirac operators on $(0,1)$ with matrix-valued potentials whose entries belong to $L_p(0,1)$, $p\in[1,\infty)$. We give a complete description of the spectral data (eigenvalues and suitably introduced norming matrices) for the operators under consideration and suggest a method for reconstructing the potential from the corresponding spectral data.

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BibTeX RIS

D. V. Puyda. 2012-05-10. Inverse spectral problems for Dirac operators with summable matrix-valued potentials. https://doi.org/10.1007/s00020-012-2001-9

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