Gurarie, David 2-sphere Schrödinger operators with odd potentials. (English) Zbl 0728.35028 Inverse Probl. 6, No. 3, 371-378 (1990). Summary: The paper extends our earlier results [Lett. Math. Phys. 16, No.4, 313- 323 (1988; Zbl 0693.35124)] on spectral theory of the 2-sphere Schrödinger operators \(H=-\Delta +V\) with even zonal potentials to a more difficult odd-potential case. We establish local spectral rigidity for odd zonal potentials and give the explicit solution of the inverse spectral problem. Cited in 2 Documents MSC: 35J10 Schrödinger operator, Schrödinger equation 35P99 Spectral theory and eigenvalue problems for partial differential equations Keywords:2-sphere Schrödinger operators; odd-potential; inverse spectral problem Citations:Zbl 0693.35124 PDFBibTeX XMLCite \textit{D. Gurarie}, Inverse Probl. 6, No. 3, 371--378 (1990; Zbl 0728.35028) Full Text: DOI