On the spectral investigation of the scattering problem for some version of one-dimensional Schrödinger equation with turning point

On the spectral investigation of the scattering problem for some version of one-dimensional Schrödinger equation with turning point

In this paper we introduce and investigate the eigenvalues and the normalizing numbers as well as the scattering function for some version of the one-dimensional Schrödinger equation with turning point on the half line. MSC: 58C40, 34L25.

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Bibliographic Details
Published in:Boundary value problems Vol. 2014; no. 1; pp. 1 - 12
Main Authors: El-Raheem, Zaki FA, Nasser, AH
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 06-05-2014
Hindawi Limited
BioMed Central Ltd
Subjects:
Analysis
Approximations and Expansions
Boundary value problems
Difference and Functional Equations
Eigenvalues
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Scattering
Scattering functions
Schroedinger equation
Spectra
Turning
asymptotic formula
normalizing numbers
initial value problem
the eigenvalues
scattering function
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Description
Summary:In this paper we introduce and investigate the eigenvalues and the normalizing numbers as well as the scattering function for some version of the one-dimensional Schrödinger equation with turning point on the half line. MSC: 58C40, 34L25.
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content type line 23
ISSN:1687-2770
1687-2762
1687-2770
DOI:10.1186/1687-2770-2014-97