Generalized Sturmian Solutions for Many-Particle Schrödinger Equations

John Avery; James Emil Avery

doi:10.1021/jp040225m

Generalized Sturmian Solutions for Many-Particle Schrödinger Equations

13 Citationer (Scopus)

Abstract

The generalized Sturmian method for obtaining solutions to the many-particle Schrodinger equation is reviewed. The method makes use of basis functions that are solutions of an approximate Schrodinger equation with a weighted zeroth-order potential. The weighting factors are especially chosen so that all the basis functions are isoenergetic with the state they are used to represent. This means that all the basis functions have turning points located in such a position that they can contribute usefully to the synthesis of the wave function. The method is illustrated by a simple example-the calculation of atomic spectra.

Avery, J.: Generalized Sturmian Solutions for Many-Particle Schrödinger Equations. J. Phys. Chem. A 108, 8848. Available from: http://www.researchgate.net/publication/230557991_Avery_J._Generalized_Sturmian_Solutions_for_Many-Particle_Schrdinger_Equations._J._Phys._Chem._A_108_8848 [accessed Sep 2, 2015].

Originalsprog	Engelsk
Tidsskrift	Journal of Physical Chemistry A
Udgave nummer	108 (41: Gert D. Billing Memorial Issue)
Sider (fra-til)	8848-8851
ISSN	1089-5639
DOI	https://doi.org/10.1021/jp040225m
Status	Udgivet - 2004

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10.1021/jp040225m

Citationsformater

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title = "Generalized Sturmian Solutions for Many-Particle Schr{\"o}dinger Equations",

abstract = "The generalized Sturmian method for obtaining solutions to the many-particle Schrodinger equation is reviewed. The method makes use of basis functions that are solutions of an approximate Schrodinger equation with a weighted zeroth-order potential. The weighting factors are especially chosen so that all the basis functions are isoenergetic with the state they are used to represent. This means that all the basis functions have turning points located in such a position that they can contribute usefully to the synthesis of the wave function. The method is illustrated by a simple example-the calculation of atomic spectra.Avery, J.: Generalized Sturmian Solutions for Many-Particle Schr{\"o}dinger Equations. J. Phys. Chem. A 108, 8848. Available from: http://www.researchgate.net/publication/230557991_Avery_J._Generalized_Sturmian_Solutions_for_Many-Particle_Schrdinger_Equations._J._Phys._Chem._A_108_8848 [accessed Sep 2, 2015].",

author = "John Avery and Avery, {James Emil}",

year = "2004",

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T1 - Generalized Sturmian Solutions for Many-Particle Schrödinger Equations

AU - Avery, John

AU - Avery, James Emil

PY - 2004

Y1 - 2004

N2 - The generalized Sturmian method for obtaining solutions to the many-particle Schrodinger equation is reviewed. The method makes use of basis functions that are solutions of an approximate Schrodinger equation with a weighted zeroth-order potential. The weighting factors are especially chosen so that all the basis functions are isoenergetic with the state they are used to represent. This means that all the basis functions have turning points located in such a position that they can contribute usefully to the synthesis of the wave function. The method is illustrated by a simple example-the calculation of atomic spectra.Avery, J.: Generalized Sturmian Solutions for Many-Particle Schrödinger Equations. J. Phys. Chem. A 108, 8848. Available from: http://www.researchgate.net/publication/230557991_Avery_J._Generalized_Sturmian_Solutions_for_Many-Particle_Schrdinger_Equations._J._Phys._Chem._A_108_8848 [accessed Sep 2, 2015].

AB - The generalized Sturmian method for obtaining solutions to the many-particle Schrodinger equation is reviewed. The method makes use of basis functions that are solutions of an approximate Schrodinger equation with a weighted zeroth-order potential. The weighting factors are especially chosen so that all the basis functions are isoenergetic with the state they are used to represent. This means that all the basis functions have turning points located in such a position that they can contribute usefully to the synthesis of the wave function. The method is illustrated by a simple example-the calculation of atomic spectra.Avery, J.: Generalized Sturmian Solutions for Many-Particle Schrödinger Equations. J. Phys. Chem. A 108, 8848. Available from: http://www.researchgate.net/publication/230557991_Avery_J._Generalized_Sturmian_Solutions_for_Many-Particle_Schrdinger_Equations._J._Phys._Chem._A_108_8848 [accessed Sep 2, 2015].

U2 - 10.1021/jp040225m

DO - 10.1021/jp040225m

M3 - Journal article

SN - 1089-5639

SP - 8848

EP - 8851

JO - Journal of Physical Chemistry Part A: Molecules, Spectroscopy, Kinetics, Environment and General Theory

JF - Journal of Physical Chemistry Part A: Molecules, Spectroscopy, Kinetics, Environment and General Theory

IS - 108 (41: Gert D. Billing Memorial Issue)

ER -

Generalized Sturmian Solutions for Many-Particle Schrödinger Equations

Abstract

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