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Il Nuovo Cimento A (1965-1970)

, Volume 14, Issue 4, pp 765–780 | Cite as

On existence and completeness of the wave operators for spherically symmetric potentials

  • D. B. Pearson
  • D. H. Whould
Article

Summary

The existence and completeness of the wave operators are proved for scattering by a large class of local, spherically symmetric potentials.

О сушествовании и полноте волновых операторов для сферически симметричных потенциалов

Реэюме

Докаэывается сушествование и полнота волновых операторов для рассеяния на щироком классе локальных, сферически симметричных потенциалов.

Riassunto

Si dimostra l’esistenza e la completezza dell’operatore d’onda per lo scattering mediante una vasta classe di potenziali locali a simmetria sferica.

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References

  1. (1).
    D. B. Pearson:Journ. Math. Phys.,13, 1490 (1972).CrossRefADSMATHGoogle Scholar
  2. (2).
    T. A. Green andO. E. Lanford:Journ. Math. Phys.,1, 139 (1960).MathSciNetCrossRefADSMATHGoogle Scholar
  3. (3).
    S. T. Kuroda:Journ. Math. Phys.,3, 933 (1962).MathSciNetCrossRefADSGoogle Scholar
  4. (4).
    B. Simon:Comm. Math. Phys.,21, 192 (1971).MathSciNetCrossRefADSMATHGoogle Scholar
  5. (5).
    J. Kupsch andW. Sandhas:Comm. Math. Phys.,2, 147 (1966).MathSciNetCrossRefADSMATHGoogle Scholar
  6. (6).
    N. Limic:Nuovo Cimento,28, 1066 (1963).MathSciNetCrossRefMATHGoogle Scholar
  7. (7).
    N. Limic:Nuovo Cimento,36, 100 (1965).MathSciNetCrossRefMATHGoogle Scholar
  8. (8).
    A. A. Arsen’ev:Žurn. Vycisl. Mat. i Mat. Fiz.,8, 1232 (1968).MathSciNetGoogle Scholar
  9. (9).
    R. B. Lavine:Comm. Math. Phys.,20, 301 (1971).MathSciNetCrossRefADSMATHGoogle Scholar
  10. (10).
    N. Limic:Comm. Math. Phys.,1, 321 (1966).MathSciNetMATHGoogle Scholar
  11. (11).
    D. Masson andL. Stevens:Nucl. Phys.,41 B, 600 (1972).CrossRefADSGoogle Scholar
  12. (12).
    B. Simon:Quantum Mechanics for Hamiltonians Defined by Quadratic Forms (Princeton, N. J., 1971).Google Scholar
  13. (13).
    K. Meetz:Nuovo Cimento,34, 690 (1964).MathSciNetCrossRefMATHGoogle Scholar
  14. (14).
    S. T. Kuroda:Journ. Math. Soc. Japan,12, 243 (1960).MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Società Italiana di Fisica 1973

Authors and Affiliations

  • D. B. Pearson
    • 1
  • D. H. Whould
    • 1
  1. 1.Department of Applied MathematicsUniversity of HullHull

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