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On the existence of the scattering operator

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Il Nuovo Cimento (1955-1965)

Summary

The existence of the wave operators and the scattering operator for the scattering on highly singular spherically symmetric potentials that are repulsive at the origin is shown. The eigenfunction expansion in terms of the eigenfunctions of the Hamiltonian is derived using the analytic properties of the solution of the Schrödinger equation.

Riassunto

Si mostra l’esistenza degli operatori d’onda e degli operatori di scattering per lo scattering di potenziali molto singolari a simmetria sferica che sono repulsivi all’origine-Si deduce lo sviluppo dell’autofunzione in funzione delle autofunzioni dell’hamiltoniano, facendo uso delle proprietà analitiche della soluzione dell’equazione di Schrödinger.

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Authors and Affiliations

  1. Institute « Rudjer Bošković », Zagreb

    N. Limić

Authors
  1. N. Limić
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Limić, N. On the existence of the scattering operator. Nuovo Cim 28, 1066–1090 (1963). https://doi.org/10.1007/BF02782033

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  • DOI: https://doi.org/10.1007/BF02782033

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