Transition of the Quasi-Levels in the Discrete Spectrum of the Schrödinger Operator Under Strong Perturbations of the Potential
This paper treats a perturbation of the discrete spectrum of the self-adjoint Schrödinger operator on the semiaxis (or on the axis) which has a positive potential with a finite or infinite limit at infinity. The perturbation of the operator consists in a cutoff of the potential to zero in some neighborhood of infinity.
KeywordsAsymptotic Formula Discrete Spectrum Resonance Number Strong Perturbation Expansion Theorem
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