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SPECTRAL PROPERTIES OF THE ONE-DIMENSIONAL SCHRÖDINGER OPERATOR WITH THE GROWING POTENTIAL
Journal: The Way of Science (Vol.1, No. 45)Publication Date: 2017-11-30
Authors : Makhmudova M.G. Khanmamedov A.Kh.;
Page : 8-11
Keywords : Schrödinger operator; growing potential; Airy function; eigenfunctions.;
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Abstract
The one-dimensional Schrödinger operator is considered, whose capacity in one direction infinitely grows, and in another – quickly decreases. The relation between eigenfunctions of continuum spectrum is found. Decomposition formulas on eigenfunctions are obtained.
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Last modified: 2018-11-09 20:40:57