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Formal expression of theS-matrix for scattering from repulsive singular potentials

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Il Nuovo Cimento A (1965-1970)

Summary

For potentials which are repulsive and more singular thanr −3 at the origin, a formal expression for theS-matrix for any angular momentum is derived. The expression is in terms of an integral over the wave function for the problem which is finite at the origin. Expressions for Jost functions are also given which are unique up to a specified multiplicative function ofk.

Riassunto

Per la matriceS si deduce un'espressione per momento angolare qualunque, per potenziali repulsivi e più singolari dir −3 all'origine. L'espressione è in funzione di un integrale rispetto alla funzione d'onda del problema che è finita all'origine. Si danno anche le espressioni della funzione di Jost che sono uniche sino ad una specifica funzione moltiplicativa dik.

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Authors and Affiliations

  1. Department of Physics, Wayne State University, Detroit, Mich., USA

    R. M. Spector

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  1. R. M. Spector
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Traduzione a cura della Redazione.

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Spector, R.M. Formal expression of theS-matrix for scattering from repulsive singular potentials. Nuovo Cimento A (1965-1970) 45, 924–929 (1966). https://doi.org/10.1007/BF02738379

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  • DOI: https://doi.org/10.1007/BF02738379

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