Skip to main content
SpringerLink
Log in

A unicity theorem on the realizations of semi-simple Lie algebras with quantum canonical variables

Теорема единственности реализаций полупростых алгебр Ли с квантовыми каноническими переменными

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

Summary

For all classical semi-simple Lie algebras a unicity theorem is given for canonical realizations with degree of freedom equal to the rank.

Riassunto

Si espone un teorema di unicità per tutte le algebre di Lie semisemplici classiche, per realizzazioni canoniche con grado di libertà pari all'ordine.

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. A. Simoni andF. Zaccaria:Nuovo Cimento,59 A, 280 (1969).

    Article  ADS  MathSciNet  Google Scholar 

  2. P. Bernat:Compt. Rend.,254, 1712 (1962).

    MathSciNet  Google Scholar 

  3. E. C. G. Sudarshan:Lectures in Theoretical Physics at the Brandeis Summer Institute (New York, 1961).

  4. F. Duimio andG. Zambotti:Nuovo Cimento.43 A, 1203 (1966);H. D. Doebner andO. Melsheimer:Journ. Math. Phys.,9, 1638 (1968).

    Article  ADS  Google Scholar 

  5. Several realizations can be found inR. M. Wilcox:Journ. Math. Phys.,8, 962 (1967).

    Article  ADS  MathSciNet  Google Scholar 

  6. V. Bargmann:Ann. Math.,48, 568 (1947).

    Article  MathSciNet  Google Scholar 

  7. A. O. Barut andC. Fronsdal:Proc. Roy. Soc., A287, 532 (1965).

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Author notes

  1. F. Zaccaria

    Present address: Istituto di Fisica Teorica dell'Università, Napoli

Authors and Affiliations

  1. Physics Department, Syracuse University, Syracuse, N.Y.

    A. Simoni & F. Zaccaria

Authors
  1. A. Simoni
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. F. Zaccaria
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This work is supported in part by the U.S. Atomic Energy Commission.

Traduzione a cura della Redazione

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Simoni, A., Zaccaria, F. A unicity theorem on the realizations of semi-simple Lie algebras with quantum canonical variables. Nuovo Cimento A (1965-1970) 67, 336–344 (1970). https://doi.org/10.1007/BF02725182

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02725182

Keywords

Search

Navigation