, Volume 129, Issue 4, pp 4053-4082

Asymptotics of Spectral Data of a Harmonic Oscillator Perturbed by a Potential

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


Asymptotics of spectral data of a perturbed harmonic oscillator −y″ + x2y + q(x)y are obtained for potentials q(x) such that q′, xq ∈ L2(ℝ). These results are important in the solution of the corresponding inverse spectral problem. Bibliography: 7 titles.