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S-matrix representations for potentials with infinite range

Представления S-матри цы для потенциалов с б есконечным радиусом

  • Published:
Il Nuovo Cimento A (1965-1970)

Summary

Unitary representations for the partial-waveS-matrix in terms of pole trajectories are derived in the complex angular-momentum plane for potentials with infinite range. Different properties of these representations are discussed; their validity is explicitly verified for the Coulomb potential.

Riassunto

Per potenziali a raggio infinito si derivano, nel piano complesso dell’impulso angolare, rappresentazioni unitarie della matriceS delle onde parziali in funzione delle traiettorie dei poli. Si discutono proprietà diverse di queste rappresentazioni; se ne verifica esplicitamente la validità per il Potenziale di Coulomb.

Резюме

В комплексной плоско сти момента для потенциалов с бескон ечным радиусом выводятся у нитарные представле ния для парциальной S-матрицы в терминах полюсных тр аекторий. Обсуждаютс я дифференциальные св ойства этих представлений. Справ едливость полученны х результатов проверя ется в явном виде для кулоновского пот енциала.

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Authors and Affiliations

  1. Institute for Theoretical Physics, University of Erlangen, Nürnberg-Erlangen

    M. Dillig

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  1. M. Dillig
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Dillig, M. S-matrix representations for potentials with infinite range. Nuov Cim A 26, 281–293 (1975). https://doi.org/10.1007/BF02769013

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  • DOI: https://doi.org/10.1007/BF02769013

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