2-sphere Schrodinger operators with odd potentials

D Gurarie
1990 Inverse Problems  
The paper extends our earlier results on spectral theory of the 2-sphere Schrodinger operators H = -A + Vwith 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.
doi:10.1088/0266-5611/6/3/007 fatcat:kainta6uunbwdmi4j4gaswiqhe