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Illustration of the generator coordinate method in terms of model problems

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Zeitschrift für Physik A Atoms and Nuclei

Abstract

Numerical aspects of the generator coordinate method are discussed in terms of three simple examples: a) the linear harmonic oscillator, b) the He atom and c) the H atom with trial generating functions: a) infinite square-well solutions, b) screened Slater-type orbitals and c) a Gaussian function, respectively. By numerical integration of the Hill Wheeler equation, straightforward and accurate results are obtained for the lower-lying eigenstates of the three cases studied. Some features of the method and the numerical solution are commented upon.

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Author notes

  1. M. Trsic

    Present address: Department of Chemistry, Faculty of Science, University of Calgary, Calgary, Alberta, Canada

Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Frankfurt, W. Germany

    P. Chattopadhyay, R. M. Dreizler, M. Trsic & M. Fink

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  1. P. Chattopadhyay
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  2. R. M. Dreizler
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  3. M. Trsic
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  4. M. Fink
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Additional information

Supported in part by DAAD and the National Research Council of Canada.

One of us (M.T.) acknowledges the support of the Deutscher Akademischer Austauschdienst of the Federal Republic of Germany and the National Research Council of Canada which, through Grant A-3596 made a visit at the University of Frankfurt/ Main possible.

We thank the HRZ of the University Frankfurt for the use of its facilities.

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Chattopadhyay, P., Dreizler, R.M., Trsic, M. et al. Illustration of the generator coordinate method in terms of model problems. Z Physik A 285, 7–16 (1978). https://doi.org/10.1007/BF01410216

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  • DOI: https://doi.org/10.1007/BF01410216

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