Skip to main content
SpringerLink
Log in

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

О сушествовании и полноте волновых операторов для сферически симметричных потенциалов

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

Summary

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

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.

Реэюме

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

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. D. B. Pearson:Journ. Math. Phys.,13, 1490 (1972).

    Article  ADS  MATH  Google Scholar 

  2. T. A. Green andO. E. Lanford:Journ. Math. Phys.,1, 139 (1960).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. S. T. Kuroda:Journ. Math. Phys.,3, 933 (1962).

    Article  MathSciNet  ADS  Google Scholar 

  4. B. Simon:Comm. Math. Phys.,21, 192 (1971).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. J. Kupsch andW. Sandhas:Comm. Math. Phys.,2, 147 (1966).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. N. Limic:Nuovo Cimento,28, 1066 (1963).

    Article  MathSciNet  MATH  Google Scholar 

  7. N. Limic:Nuovo Cimento,36, 100 (1965).

    Article  MathSciNet  MATH  Google Scholar 

  8. A. A. Arsen’ev:Žurn. Vycisl. Mat. i Mat. Fiz.,8, 1232 (1968).

    MathSciNet  Google Scholar 

  9. R. B. Lavine:Comm. Math. Phys.,20, 301 (1971).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. N. Limic:Comm. Math. Phys.,1, 321 (1966).

    MathSciNet  MATH  Google Scholar 

  11. D. Masson andL. Stevens:Nucl. Phys.,41 B, 600 (1972).

    Article  ADS  Google Scholar 

  12. B. Simon:Quantum Mechanics for Hamiltonians Defined by Quadratic Forms (Princeton, N. J., 1971).

  13. K. Meetz:Nuovo Cimento,34, 690 (1964).

    Article  MathSciNet  MATH  Google Scholar 

  14. S. T. Kuroda:Journ. Math. Soc. Japan,12, 243 (1960).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Author notes

  1. D. B. Pearson

    Present address: Department of Theoretical Physics, University of Geneva, Geneva

Authors and Affiliations

  1. Department of Applied Mathematics, University of Hull, Hull, Yorks

    D. B. Pearson & D. H. Whould

Authors
  1. D. B. Pearson
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. H. Whould
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

One of us (D. H. W.) has been supported by a Research Studentship from the Science Research Council.

This work has been submitted to the University of Hull in partial fulfilment of the degree of Doctor of Philosophy.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pearson, D.B., Whould, D.H. On existence and completeness of the wave operators for spherically symmetric potentials. Nuov Cim A 14, 765–780 (1973). https://doi.org/10.1007/BF02729429

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02729429

Search

Navigation