Abstract
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.
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Alenitsyn, A.G. (1971). Transition of the Quasi-Levels in the Discrete Spectrum of the Schrödinger Operator Under Strong Perturbations of the Potential. In: Birman, M.S. (eds) Spectral Theory and Wave Processes. Topics in Mathematical Physics, vol 4. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-8926-2_1
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DOI: https://doi.org/10.1007/978-1-4684-8926-2_1
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-8928-6
Online ISBN: 978-1-4684-8926-2
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