Published 2017 | Version v1
Journal article

Precise solutions of Schroedinger equation with the Coulomb and linear confining potentials in momentum representation

  • 1. Gomel'skij Gosudarstvennyj Universitet im. F.Skoriny, Gomel (Belarus)

Description

It is shown that the Schrödinger equation in the momentum representation with the linear confining potential, Coulomb and Cornell potentials for states with zero orbital angular momentum can be solved with high accuracy (far superior to other methods) using special quadrature formulas for singular integrals.

Availability note (English)

Available online: http://www1.jinr.ru/Pepan_letters/panl_2017_1/07_Andreev.pdf

Additional details

Additional titles

Original title (Russian)
Прецизионное решение уравнения Шредингера с кулоновским и линейным запирающим потенциалами в импульсном пространстве

Publishing Information

Journal Title
Pis'ma v Zhurnal 'Fizika Ehlementarnykh Chastits i Atomnogo Yadra'
Journal Volume
14
Journal Issue
1/206
Journal Page Range
p. 40-57
ISSN
1814-5957

INIS

Country of Publication
Joint Institute for Nuclear Research (JINR)
Country of Input or Organization
Joint Institute for Nuclear Research (JINR)
INIS RN
48098746
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Translation
Descriptors DEI
ENERGY SPECTRA; INTEGRAL EQUATIONS; MATHEMATICAL SOLUTIONS; ORBITAL ANGULAR MOMENTUM; POTENTIALS; QUADRATURES; SCHROEDINGER EQUATION; SINGULARITY
Descriptors DEC
ANGULAR MOMENTUM; DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; SPECTRA; WAVE EQUATIONS

Optional Information

Notes
37 refs., 5 tabs. For English translation of this paper see the journal 'Particles and Nuclei, Letters'
Funding organization
Belorussian Respublican Foundation for Fundamental Research, Minsk (Belarus)