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Spectral problem for the radial Schr$\stackrel{..}{o}$dinger equation with confining-type potentials

A.S. Vshivtsev$^1$, A.V. Prokopov$^2$, V.N. Sorokin$^1$, A.V. Tatarintsev$^1$

Moscow University Physics Bulletin 1998. 53. N 1. P. 6

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Annotation

A procedure based on the generalized integral transform method is applied to determining energy spectra for a large class of radial Schr$\stackrel{..}{o}$dinger-type equations. This procedure is shown to be usefully employed in a number of known potentials. Moreover, it yields essentially new analytical results for such significant potentials as the Cornell potential important for the hadron physics.

Rissian citation:
А.С. Вшивцев, А.В. Прокопов, В.Н. Сорокин, А.В. Татаринцев.
Спектральная задача для радиального уравнения Шрёдингера с удерживающими типами потенциалов.
Вестн. Моск. ун-та. Сер. 3. Физ. Астрон. 1998. № 1. С. 6.
Authors
A.S. Vshivtsev$^1$, A.V. Prokopov$^2$, V.N. Sorokin$^1$, A.V. Tatarintsev$^1$
$^1$Moscow State Institute of Radioengineering, Electronics and Automation (Technical University)
$^2$Department of Quantum Theory and High-Energy Physics, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
Issue 1, 1998

Moscow University Physics Bulletin

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