Asymptotics of Spectral Data of a Harmonic Oscillator Perturbed by a Potential
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- Chelkak, D.S. J Math Sci (2005) 129: 4053. doi:10.1007/s10958-005-0342-5
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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.