ASYMPTOTICS OF SPECTRAL DATA OF A HARMONIC OSCILLATOR PERTURBED BY A POTENTIAL

摘要

Asymptotics of spectral data of a perturbed harmonic oscillator -y″ + x~2y + q(x)y are obtained for potentials q(x) such that q′,xq ∈ L~2(R). These results are important in the solution of the corresponding inverse spectral problem.