Skip to main content

Analytic Perturbation Approach to N-Particle Quantum Systems

  • Conference paper
Scattering Theory in Mathematical Physics

Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 9))

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. T. Kato, Perturbation theory for linear operators. Springer-Verlag, N.Y. (1966).

    MATH  Google Scholar 

  2. Hack, Nuovo Cimento 13, (1959) 231

    Article  MATH  Google Scholar 

  3. L. Faddeev, Mathematical aspects of the 3 body problem in the quantum scattering theory., Israel program for scientific translation, London, (1965).

    Google Scholar 

  4. K. Hepp, Helv. Phys. Acta 42, (1969) 425.

    MathSciNet  Google Scholar 

  5. J. M. Combes, Nuovo Cimento, 64 A, (1969) 111.

    ADS  Google Scholar 

  6. S. Weinberg, Phys. Rev. 133, 232 (1964). (Van Winter: Mat. Fys.skr. Dan Vid Selsk Nos. 8, 10 (1964, 1965)).

    Article  MathSciNet  ADS  Google Scholar 

  7. T. Ikebe, Arch. Rat. Mech. Anal 5, (1964) 1.

    Article  MathSciNet  Google Scholar 

  8. Nuttall, Jour. Math. Physics 4, (1967) 873.

    Article  ADS  Google Scholar 

  9. Lovelace, Strong interactions and High Energy Physics, Moorhouse Oliver and Boyd, London (1964).

    Google Scholar 

  10. C. Dolph, AMS Bull. 67, (1961).

    Google Scholar 

  11. B. Simon, Comm. Math. Phys. 27, (1972) 1.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  12. E. Balslev, Math. Scand. 19, (1966) 193.

    MathSciNet  MATH  Google Scholar 

  13. W. Hunziker, Phys. Rev. 135B (1964) 800.

    Article  MathSciNet  ADS  Google Scholar 

  14. J.M. Combes, Comm. Math. Phys. 12, (1969) 283.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  15. J. Aguilar and J.M. Combes, Comm. Math. Phys. 22, (1971) 269.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  16. E. Balslev and J.M. Combes, Comm. Math. Phys. 22, (1971) 280.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. T. Ichinose, Nagoya Math J. 50 (1973) 185.

    MathSciNet  MATH  Google Scholar 

  18. B. Simon and M. Reed, To appear in Jour. Funct. Anal. 13 (1973).

    Google Scholar 

  19. J.M. Combes and L. Thomas, Preprint Universitéde Toulon (1973).

    Google Scholar 

  20. B. Simon, Preprint Marseille (1973).

    Google Scholar 

  21. B. Simon, Annals of Math, 97 (1973) 24 F.

    Google Scholar 

  22. J. Howland, Arch. Rat. Mech. Anal. 39, (1970) 323.

    Article  MathSciNet  MATH  Google Scholar 

  23. T. O’Connor, Comm. Math. Physics. 32 (1973) 319.

    Article  MathSciNet  ADS  Google Scholar 

  24. B. Simon, Quantum mechanics for Hamiltonians defined as quadratic forms, Princeton University Press, (1971).

    Google Scholar 

  25. W. Hunziker, Helv. Phys. Acta. (1961) 593.

    Google Scholar 

  26. J.R. Taylor, Scattering theory, John Wiley & Sons, (1972).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1974 D. Reidel Publishing Company, Dordrecht-Holland

About this paper

Cite this paper

Combes, J.M. (1974). Analytic Perturbation Approach to N-Particle Quantum Systems. In: Lavita, J.A., Marchand, JP. (eds) Scattering Theory in Mathematical Physics. NATO Advanced Study Institutes Series, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2147-0_12

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-2147-0_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-2149-4

  • Online ISBN: 978-94-010-2147-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics