A. Pokrovski

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20032006

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math-ph2006

Asymptotic Inverse Problem for Almost-Periodically Perturbed Quantum Harmonic Oscillator

Alexis Pokrovski

Consider quantum harmonic oscillator, perturbed by an even almost-periodic complex-valued potential with bounded derivative and primitive. Suppose that we know the first correction…

math-ph2003

Spectral asymptotics of harmonic oscillator perturbed by bounded potential

M. Klein, E. Korotyaev, A. Pokrovski

Consider the operator $T = - d^{2} d x^{2} + x^{2} + q (x)$ in $L^{2} (R)$ , where real functions $q$ , $q^{'}$ and $\int_{0}^{x} q (s) d s$ are bounded. In particular, $q$ is periodic or almost perio…