Study of the Equation of Partial Waves with Rapidly Oscillating Potential

Ya. T. Sultanaev, R. T. Islamova

Bashkir State University

Abstract: 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.

UDC: 517.2

Received: 17.04.2004
Revised: 24.03.2005

DOI: 10.4213/mzm2696

 English version: Mathematical Notes, 2006, 79:2, 263–267

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