A. Pokrovski

activity

20032006

collaborators

3 papers

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.CA2005

Estimates of parabolic cylinder functions on the real axis

Alexis Pokrovski

We estimate simple combination of the parabolic cylinder functions and their derivatives. These estimates are important for the spectral analysis of non-analytically perturbed quan…

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…