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Spectral Concentration for Perturbed Equations of Harmonic Oscillator Type
Published online by Cambridge University Press: 01 February 2010
Abstract
Sturm–Liouville potentials of the form xa ƒ(∈x) are considered, where a > 0, ƒ decays sufficiently rapidly at infinity, and ∈ is a small positive parameter. It is shown that there are a finite number N(∈) of spectral concentration points, and computational evidence is given to support the conjecture that N(∈) increases to infinity as ∈ decreases to zero.
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- Copyright © London Mathematical Society 2000