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Generalized Sturmian Solutions for Many-Particle Schrödinger Equations

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Authors:
  • Avery, John ;
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    unknown
  • Avery, James Emil
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    Orcid logo0000-0001-7772-3440
    eScience, Niels Bohr Institute, Faculty of Science, Københavns Universitet
DOI:
10.1021/jp040225m
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].
Type:
Journal article
Language:
English
Published in:
Journal of Physical Chemistry a, 2004, Issue 108 (41: Gert D. Billing Memorial Issue), p. 8848-8851
Main Research Area:
Science/technology
Publication Status:
Published
Review type:
Peer Review
Submission year:
2004
Scientific Level:
Scientific
ID:
9685597

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