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Virial theorems for the scattering amplitude

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Acta Physica Academiae Scientiarum Hungaricae

Abstract

It is proved that if a scaling parameter is optimized using a variational principle for the scattering amplitude discovered by Schwinger, a virial theorem is satisfied by the optimized variational functions and the variationally determined scattering amplitude. Moreover it is shown that the virial theorem is satisfied by the first and second Born approximations to the scattering amplitude.

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References

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Authors and Affiliations

  1. Department of Applied Mathematics and Theoretical Physics, The Queen’s University of Belfast, Belfast, N. Ireland

    J. D. G. McWhirter & B. L. Moiseiwitsch

Authors
  1. J. D. G. McWhirter
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  2. B. L. Moiseiwitsch
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McWhirter, J.D.G., Moiseiwitsch, B.L. Virial theorems for the scattering amplitude. Acta Physica 35, 37–45 (1974). https://doi.org/10.1007/BF03159739

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  • DOI: https://doi.org/10.1007/BF03159739

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