Inverse spectral problems for Dirac operators with summable potentials

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The spectral properties of Dirac operators on $(0,1)$ with potentials that belong entrywise to $L_p(0,1)$, for some $p\in[1,\infty)$, are studied. The algorithm of reconstruction of the potential from two spectra or from one spectrum and the corresponding norming constants is established, and a complete solution of the inverse spectral problem is provided.
25 pages

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Spectral Theory, Mathematical Physics, Primary 34A55, Secondary 34B30, 47E05

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http://salesiana.dossiersoluciones.com/handle/123456789/121237

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701158
 http://arxiv.org/abs/math/0701158
 Russian J. Math. Phys. 12 (2005), no. 4, 406-423

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arXiv