High-precision methods for Coulomb, linear confinement and Cornell
potentials in momentum space
V. Andreev. (2017)cite arxiv:1709.06059Comment: 20 pages.
Abstract
We use special quadrature formulas for singular and hypersingular integral to
numerically solve the Schrödinger equation in momentum space with the
linear confinement potential, Coulomb and Cornell potentials. It is shown that
the eigenvalues of the equation can be calculated with high accuracy, far
exceeding other calculation methods. Special methods of solution for states
with zero orbital angular momentum are considered.
Description
High-precision methods for Coulomb, linear confinement and Cornell
potentials in momentum space
%0 Journal Article
%1 andreev2017highprecision
%A Andreev, Viktor
%D 2017
%K numerics qm
%T High-precision methods for Coulomb, linear confinement and Cornell
potentials in momentum space
%U http://arxiv.org/abs/1709.06059
%X We use special quadrature formulas for singular and hypersingular integral to
numerically solve the Schrödinger equation in momentum space with the
linear confinement potential, Coulomb and Cornell potentials. It is shown that
the eigenvalues of the equation can be calculated with high accuracy, far
exceeding other calculation methods. Special methods of solution for states
with zero orbital angular momentum are considered.
@article{andreev2017highprecision,
abstract = {We use special quadrature formulas for singular and hypersingular integral to
numerically solve the Schr\"{o}dinger equation in momentum space with the
linear confinement potential, Coulomb and Cornell potentials. It is shown that
the eigenvalues of the equation can be calculated with high accuracy, far
exceeding other calculation methods. Special methods of solution for states
with zero orbital angular momentum are considered.},
added-at = {2017-09-19T09:43:41.000+0200},
author = {Andreev, Viktor},
biburl = {https://www.bibsonomy.org/bibtex/2a7e4d95b9e32e8d0eb4f96fd863b96a7/vindex10},
description = {High-precision methods for Coulomb, linear confinement and Cornell
potentials in momentum space},
interhash = {4f4906e2a80df9ff64216de827f98ec8},
intrahash = {a7e4d95b9e32e8d0eb4f96fd863b96a7},
keywords = {numerics qm},
note = {cite arxiv:1709.06059Comment: 20 pages},
timestamp = {2017-09-19T09:43:41.000+0200},
title = {High-precision methods for Coulomb, linear confinement and Cornell
potentials in momentum space},
url = {http://arxiv.org/abs/1709.06059},
year = 2017
}