Study of the Equation of Partial Waves with Rapidly Oscillating Potential
Matematičeskie zametki, Tome 79 (2006) no. 2, pp. 288-293
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In this paper, we consider the differential equation of partial waves $\psi''(x)+[k^2-(\lambda^2-1/4)/x^2-V(x)]\psi(x)=0$ and the corresponding integral equations. We obtain estimates for the solutions of this differential equation with boundary conditions for $x=0$ and $x=\infty$. The analitycity domains for the wave functions are established.
@article{MZM_2006_79_2_a11,
author = {Ya. T. Sultanaev and R. T. Islamova},
title = {Study of the {Equation} of {Partial} {Waves} with {Rapidly} {Oscillating} {Potential}},
journal = {Matemati\v{c}eskie zametki},
pages = {288--293},
year = {2006},
volume = {79},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2006_79_2_a11/}
}
Ya. T. Sultanaev; R. T. Islamova. Study of the Equation of Partial Waves with Rapidly Oscillating Potential. Matematičeskie zametki, Tome 79 (2006) no. 2, pp. 288-293. http://geodesic.mathdoc.fr/item/MZM_2006_79_2_a11/