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.
I: Journal of Physical Chemistry A, Nr. 108 (41: Gert D. Billing Memorial Issue), 2004, s. 8848-8851.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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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