×

2-sphere Schrödinger operators with odd potentials. (English) Zbl 0728.35028

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.

MSC:

35J10 Schrödinger operator, Schrödinger equation
35P99 Spectral theory and eigenvalue problems for partial differential equations

Citations:

Zbl 0693.35124
PDFBibTeX XMLCite
Full Text: DOI