Asymptotic Solution of Boundary Problem for Relativistic Finite-Difference Schrцdinger Equation with Singular Oscillator Quasipotential

I V Amirkhanov; Амирханов И В; S A Vasilyev; Васильев С А; D G Vasilyeva; Васильева Д Г; A F Karaschuk; Каращук А Ф; V E Denisov; Денисов В Э; D N Udin; Удин Д Н

Asymptotic Solution of Boundary Problem for Relativistic Finite-Difference Schrцdinger Equation with Singular Oscillator Quasipotential

Authors: Amirkhanov IV¹, Vasilyev SA², Vasilyeva DG², Karaschuk AF², Denisov VE³, Udin DN⁴
Affiliations:
1. _ Joint Institute for Nuclear Research
2. Peoples' Friendship University of Russia
3. TNK-BP
4. IBM Central and Eastern Europe
Issue: No 3 (2008)
Pages: 55-68
Section: Articles
URL: https://journals.rudn.ru/miph/article/view/8761

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Abstract

Using the asymptotic methods the solution of boundary problem for the relativistic finite-difference Schrцdinger equation with the singular oscillator quasipotential is studied. For this problem eigenvalues and eigenfunctions are considered. It is shown that they have correct non-relativistic limits.