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Article Dans Une Revue Inverse Problems Année : 2003

An inverse spectral problem for a schrodinger operator with unbounded potential

Résumé

In this paper, we prove a uniqueness theorem for the potential $V(x)$ of the following Schrödinger operator $H=-\Delta +q(\vert x \vert)+V(x) \mbox{ in } \mathbb{R}^2$, where $q(\vert x \vert)$ is a known increasing radial potential satisfying $\lim_{\vert x \vert \rightarrow + \infty}q(\vert x \vert)= +\infty$ and $V(x)$ is a bounded potential.
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Dates et versions

hal-00003752 , version 1 (03-01-2005)

Identifiants

  • HAL Id : hal-00003752 , version 1

Citer

Laure Cardoulis, Michel Cristofol, Patricia Gaitan. An inverse spectral problem for a schrodinger operator with unbounded potential. Inverse Problems, 2003, 19, pp.467-476. ⟨hal-00003752⟩
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