Skip to main content
SpringerLink
Log in

Star exponentials of the elements of the inhomogeneous symplectic Lie algebra

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

Abstract

We compute the star exponential of any element of the inhomogeneous symplectic Lie algebra on a 2l-dimensional phase space and show the existence of classical trajectories for a quantum system whose Hamiltonian belongs to this Lie algebra.

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. BayenF., FlatoM., FronsdalC., LichnerowiczA., and SternheimerD., Ann. Phys. 111, 61 (1978).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  2. BayenF., FlatoM., FronsdalC., LichnerowiczA., and SternheimerD., Ann. Phys. 110, 111 (1978).

    MATH  MathSciNet  ADS  Google Scholar 

  3. FronsdalC., Rep. Math. Phys. 15, 111 (1978).

    Article  MathSciNet  ADS  Google Scholar 

  4. MoyalJ.E., Proc. Cambr. Phil. Soc. 45, 99 (1949).

    Article  MATH  MathSciNet  Google Scholar 

  5. Moreno, C., ‘Produit * et analyse spectrale’, Comptes rendus des journées relativistes de Grenoble (1981).

  6. HugueninP., Lett. Math. Phys. 2, 321 (1978).

    Article  MATH  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Département de Mathématiques, Université de Paris 6, 75230, Paris Cedex 05, France

    F. Bayen

  2. Laboratoire de Physique Mathématiques, Université de Dijon, 21000, Dijon, France

    J. M. Maillard

Authors
  1. F. Bayen
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. M. Maillard
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bayen, F., Maillard, J.M. Star exponentials of the elements of the inhomogeneous symplectic Lie algebra. Lett Math Phys 6, 491–497 (1982). https://doi.org/10.1007/BF00405871

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00405871

Keywords

Search

Navigation