Skip to main content

Galilean Symmetry

  • Chapter
Symmetries in Science III

Abstract

Since this is a symposium for symmetry, I believe that it is our duty to behave as if we all belonged to one and the same tribe living exclusively on symmetry. Thus I have chosen the theme of my lecture to be one of the oldest symmetries we, human being, have known of, that is, Galilean symmetry.

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. Galileo Galilei, “Dialogue Concerning the Two Chief World Systems Ptolemic and Copernican” (Univ. of California Press, Berkeley, 1967). 2. See for example, E.C.G.Sudarshan and N.Mukunda, “Classical Dynamics: A Modern Perspective” (J.Wiley, New York, 1974) chap.19.

    Google Scholar 

  2. See for example, E.C.G.Sudarshan and N.Mukunda, “Classical Dynamics: A modern Perspective” (J.Wiley, New York, 1974) chap.19.

    Google Scholar 

  3. G.Marmo, G.Morandi, A.Simoni and E.C.G.Sudarshan, Phys. Rev.D37: 2196 (1988).

    Google Scholar 

  4. See for example, D.E.Soper, “Classical Field Theory” (J.Wiley, New York, 1976) sect. 7.3.

    Google Scholar 

  5. E.P.Wigner, Ann. Math.40: 149(1939); V.Bargmann, Ann. Math.59: 1(1954); E.Inönu and E.P.Wigner, Nuovo Cimento9: 705(1952).

    Google Scholar 

  6. J.M.Lévy-Leblond, J. Math. Phys.4: 776(1963); Commun. Math. Phys.4: 157(1967);6: 286(1967).

    Google Scholar 

  7. W.J.Hurley, Phys. Rev.D3: 2339(1971); C.R.Hagen and W.J.Hurley, Phys. Rev. Letters24: 1381(1970); C.R.Hagen, Commun. Math. Phys.18: 97(1970). See also, J.Voisin, J. Math. Phys.6: 1519(1965); J.J.Aghassi, P. Roman and R.M.Santilli, Phys. Rev.D1: 2753(1970); Nuovo Cimento5A: 551(1971); P.Roman, J.J.Aghassi, R.M.Santilli and P.L.Huddleston, Nuovo Cimento12A: 185(1972).

    Google Scholar 

  8. See for example, Y.Ohnuki and S.Kamefuchi, in “Progress in Quantum Field Theory” (eds. H.Ezawa and S.Kamefuchi, North-Holland, Amsterdam, 1986 ) p. 133.

    Google Scholar 

  9. Y.Takahashi and C.Ropchan, Prog. Theor. Phys. (Kyoto)76: 1187(1986).

    Article  MathSciNet  ADS  Google Scholar 

  10. V.Bargmann and E.P.Wigner, Proc. Natl. Acad. Sci. U.S.94: 211(1948).

    Article  MathSciNet  ADS  Google Scholar 

  11. See for example, S.Kamefuchi and Y. Takahashi, Nuovo Cimento (Ser.X)44: 1(1966).

    Article  ADS  Google Scholar 

  12. Y.Takahashi and C.Ropchan, Canad. J . Phys.65: 484(1987)

    Article  ADS  Google Scholar 

  13. Y.Takahashi, Fortsch. Phys.36: 63, 83 (1988).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Plenum Press, New York

About this chapter

Cite this chapter

Omote, M., Kamefuchi, S., Takahashi, Y., Ohnuki, Y. (1989). Galilean Symmetry. In: Gruber, B., Iachello, F. (eds) Symmetries in Science III. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0787-7_16

Download citation

  • DOI: https://doi.org/10.1007/978-1-4613-0787-7_16

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-8082-8

  • Online ISBN: 978-1-4613-0787-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics