Log in

The q-Zassenhaus formula

  • Published:
Letters in Mathematical Physics Aims and scope Submit manuscript

Abstract

A q-deformed analogue of the Zassenhaus formula, expressing the q-exponential of a sum of two noncommuting operators in terms of an infinite product of q-exponentials, is introduced.

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

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Canada)

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Jackson, F. H.: Proc. Edinburgh Math. Soc. 22 (1904), 28–39.

    Google Scholar 

  2. Schützenberger, M.-P.: C. R. Acad. Sci. Paris 236 (1953), 352–353.

    Google Scholar 

  3. Magnus, W.: Comm. Pure Appl. Math. 7 (1954), 649–673.

    Google Scholar 

  4. Baues, H. J.: Commutator Calculus and Groups of Homotopy Classes, London Math. Soc. Lecture Notes Series 50, Cambridge University Press, Cambridge, (1981).

    Google Scholar 

  5. Zhao, Z. S.: J. Math. Phys. 32 (1991), 2783–2785.

    Google Scholar 

  6. Hatano, N. and Suzuki, M., Phys. Lett. A 153 (1991), 191–194.

    Google Scholar 

  7. Katriel, J. and Solomon, A. I.: J. Phys. A: Math. Gen. 24 (1991), L1139–1142.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Katriel, J., Rasetti, M. & Solomon, A.I. The q-Zassenhaus formula. Lett Math Phys 37, 11–13 (1996). https://doi.org/10.1007/BF00400134

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00400134

Mathematics Subject Classifications (1991)

Key words

Navigation