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Differential-equation reduction of principal-value collision integrals in nonrelativistic perturbation theory

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Il Nuovo Cimento B (1971-1996)

Summary

An iterative differential-equation approach to the evaluation of principal-value integrals occurring in perturbation calculations is examined within the framework ofT-matrix collision theory. Such procedure also leads to an interesting representation of nonrelativistic perturbation theory, and can simplify calculation of scattering matrix elements for smooth potentials.

Riassunto

Si esamina un approccio iterativo di equazione differenziale alla valutazione di integrali di valore principale che intervengono nei calcoli della perturbazione entro il contesto della teoria di collisione della matriceT. Tale procedura porta anche ad un'interessante rappresentazione della teoria perturbativa nonrelativistica e può semplificare il calcolo degli elementi della matrice di scattering per potenziali uniformi.

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References

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Authors and Affiliations

  1. Theoretical Division, University of California, Los Alamos Scientific Laboratory, 87544, Los Alamos, N. Mex.

    B. R. Wienke

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  1. B. R. Wienke
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Additional information

Work performed under the auspices of the U.S. Energy Research and Development Administration.

Traduzione a cura della Redazione.

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Wienke, B.R. Differential-equation reduction of principal-value collision integrals in nonrelativistic perturbation theory. Nuov Cim B 34, 297–304 (1976). https://doi.org/10.1007/BF02728608

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  • DOI: https://doi.org/10.1007/BF02728608

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