Generalized Sturmian Solutions for Many-Particle Schrödinger Equations

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Generalized Sturmian Solutions for Many-Particle Schrödinger Equations. / Avery, John; Avery, James Emil.

In: Journal of Physical Chemistry A, No. 108 (41: Gert D. Billing Memorial Issue), 2004, p. 8848-8851.

Research output: Contribution to journalJournal articlepeer-review

Harvard

Avery, J & Avery, JE 2004, 'Generalized Sturmian Solutions for Many-Particle Schrödinger Equations', Journal of Physical Chemistry A, no. 108 (41: Gert D. Billing Memorial Issue), pp. 8848-8851. https://doi.org/10.1021/jp040225m

APA

Avery, J., & Avery, J. E. (2004). Generalized Sturmian Solutions for Many-Particle Schrödinger Equations. Journal of Physical Chemistry A, (108 (41: Gert D. Billing Memorial Issue)), 8848-8851. https://doi.org/10.1021/jp040225m

Vancouver

Avery J, Avery JE. Generalized Sturmian Solutions for Many-Particle Schrödinger Equations. Journal of Physical Chemistry A. 2004;(108 (41: Gert D. Billing Memorial Issue)):8848-8851. https://doi.org/10.1021/jp040225m

Author

Avery, John ; Avery, James Emil. / Generalized Sturmian Solutions for Many-Particle Schrödinger Equations. In: Journal of Physical Chemistry A. 2004 ; No. 108 (41: Gert D. Billing Memorial Issue). pp. 8848-8851.

Bibtex

@article{fa674c0074c311dbbee902004c4f4f50,
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",
doi = "10.1021/jp040225m",
language = "English",
pages = "8848--8851",
journal = "Journal of Physical Chemistry Part A: Molecules, Spectroscopy, Kinetics, Environment and General Theory",
issn = "1089-5639",
publisher = "American Chemical Society",
number = "108 (41: Gert D. Billing Memorial Issue)",

}

RIS

TY - JOUR

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

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

SN - 1089-5639

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

ER -

ID: 103796