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A generalized Hill-Wheeler ansatz

  • Nuclei
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Zeitschrift für Physik A Atoms and Nuclei

Abstract

The Hill-Wheeler ansatz for the total wave function, within the Generator Coordinate Method framework, is generalized by recourse to the theory of distributions. The ensuing approach allows one to obtain a basis that spans the collective subspace, without having to deal explicitly with the eigenvectors and eigenvalues of the overlap kernel. Applications to an exactly soluble model and anharmonic vibrations illustrate the present treatment.

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Author notes

  1. A. Plastino

    Present address: National University La Plata, La Plata, Argentina

Authors and Affiliations

  1. National University La Plata, La Plata, Argentina

    J. Nuñez (Member of the National Research Council (CONICET), Argentina), C. Esebbag (Member of the National Research Council (CONICET), Argentina), M. T. Martin (Member of the National Research Council (CONICET), Argentina) & L. Rebollo (Member of the Buenos Aires Research Council (CICBA), Argentina)

  2. Institut für Theoretische Physik der Universität Tübingen, Federal Republic of Germany

    A. Plastino

Authors
  1. J. Nuñez
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  2. C. Esebbag
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  3. M. T. Martin
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  4. L. Rebollo
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  5. A. Plastino
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Additional information

On leave from National University La Plata and CONICET

One of us (A.P.) wishes to thank Prof. A. Faessler for his kind hospitality at the Institut für Theoretische Physik der Universität Tübingen.

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Nuñez, J., Esebbag, C., Martin, M.T. et al. A generalized Hill-Wheeler ansatz. Z Physik A 318, 223–229 (1984). https://doi.org/10.1007/BF01413473

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  • DOI: https://doi.org/10.1007/BF01413473

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