Skip to main content

Dynamical Symmetries of Relativistic Two-and Many Body Systems

  • Chapter
Symmetries in Science V
  • 208 Accesses

Abstract

The great success of nonrelativistic many body theory based on the Schrödinger equation in configuration space and the symmetries we have learned from it can be extended to a nonperturbative covariant many-body equation derived from field theory by a variational principle.

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. E.B. Aronson, I.A. Malkin and V.I. Manko, Sov.J.Particlles and Nuclei, 5.47 (1974)

    MathSciNet  Google Scholar 

  2. A.O. Barut, Dynamical Groups and Generalized Symmetries, Univ. of Canterbury Press, 1972

    Google Scholar 

  3. A.O. Barut and R. Raczka, Theory of Group Representations and Applications, Second Edition, World Scientific, 1986

    MATH  Google Scholar 

  4. A. Bohm, A.O. Barut and Y. Neéman (edits.), Dynamical Groups and Spectrum Genarting Algebras, Vol.I and II, World Scientific, 1988

    Google Scholar 

  5. B.G. Wybourne, Classical Groups for Physicists, J. Wiley, N.Y., 1974

    MATH  Google Scholar 

  6. C.E. Wulfman, in Group Theory and its Applications, Vol.2, E.M. Loebl, edit., Acad. Press, N.Y. 1971

    Google Scholar 

  7. A.O. Barut and Y. Kitagawara, J.Phys. A14, 2581 (1981); A15, 117 (1982)

    Google Scholar 

  8. A.O. Barut, in Symmetry in Science, Vol. II, B. Gruber, edit. Plenum N. Y. 1987

    Google Scholar 

  9. A.O. Barut and N. Unal, Physica, 142A, 467 and 488 (1987)

    ADS  Google Scholar 

  10. A.O. Barut, J. Math. Phys., March 1991

    Google Scholar 

  11. N. Kemmer, Helv.Phys.Acta, 10, 8 (1937); Proc.Roy.Soc. A173, 91 (1987)

    Google Scholar 

  12. R.J. Duffin, Phys.Rev. 54, 114 (1936)

    Google Scholar 

  13. G. Petiau, Acad.Roy.Soc.Belg.Cl.Sci.Mem. 8, 16 (1936)

    Google Scholar 

  14. I.M. Gelfand and A.M. Yaglom, Zh.Eksp.Teor.Fiz. 18, 703, 1096, and 1105 (1948)

    MathSciNet  Google Scholar 

  15. E. Majorana, Nuovo Cimento 9, 335 (1932)

    Article  Google Scholar 

  16. A.O. Barut and S. Malin, Rev. Mod. Phys. 40, 632 (1968)

    Article  ADS  MATH  Google Scholar 

  17. A.O. Barut and N. Zanghi, Phys. Rev. Lett. 52, 2009 (1984)

    Article  MathSciNet  ADS  Google Scholar 

  18. A.O. Barut and M. Paysic, Class. Ouant.Gray. 4, L41, L131 (1987); 5, 707 (1988)

    Google Scholar 

  19. A.O. Barut and I.H. Duru, Physics Reports, 172, 1 (1987)

    Article  MathSciNet  ADS  Google Scholar 

  20. A.O. Barut, Physics Letters B, 237, 436 (1990)

    Article  ADS  Google Scholar 

  21. A.O. Barut, in Groups, Systems and Many-Body Physics, P. Kramer et al., edits., Vieweg, Braunschweig, 1980

    Google Scholar 

  22. A.O. Barut, C. Onem and N. Unal, J. Phys. A, 23, 1113 (1990)

    Article  MathSciNet  ADS  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer Science+Business Media New York

About this chapter

Cite this chapter

Barut, A.O. (1991). Dynamical Symmetries of Relativistic Two-and Many Body Systems. In: Gruber, B., Biedenharn, L.C., Doebner, H.D. (eds) Symmetries in Science V. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3696-3_1

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-3696-3_1

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6643-0

  • Online ISBN: 978-1-4615-3696-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics