CERN Accelerating science

Preprint
Report number	P11-2000-13
Title	Asymptotic Approximation of Solutions and Eigenvalues of a Boundary Problem for a Singular Perturbated Relativistic Analog of Schroedinger Equation
Author(s)	Amirkhanov, I V ; Zhidkov, E P ; Zhidkova, I E ; Vasilev, S A
Affiliation	(Laboratory of Computing Techniques and Automation, Dubna) ; (People's Friendship University of Russia)
Publication	2000
Imprint	31 Jan 2000
Number of pages	18
Published in:	Diff. Uravneniya
Subject category	Mathematical Physics and Mathematics
Abstract	Asymptotics of eigenfunctions and eigenvalues has been obtained for a singular perturbated relativistic analog of Schr`dinger equation. A singular convergence of asymptotic expansions of the boundary problems to degenerated problems is shown for a nonrelativistic Schr`dinger equation. The expansions obtained are in a good agreement with a numeric experiment.
Submitted by	[email protected]