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Abbasova K.
Advanced Mathematical Models and Applications, vol.9, no.1, pp.105-109, 2024 (Scopus)
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Publication Type:
Article / Article
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Volume:
9
Issue:
1
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Publication Date:
2024
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Doi Number:
10.62476/amma91.5
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Journal Name:
Advanced Mathematical Models and Applications
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Journal Indexes:
Scopus
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Page Numbers:
pp.105-109
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Keywords:
formula of the expansion, scattering problem, step-like potential, the Airy function, The Stark operator
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Azerbaijan State University of Economics (UNEC) Affiliated:
Yes
Abstract
The Stark operator with a step-like potential is considered. An explicit form of special solutions to the corresponding Stark equation is found. The scattering problem for the operator L is studied. A formula for expansion in terms of eigenfunctions of a continuous spectrum is obtained.