Skip to main content
Log in

Noncommutative NLS equation

  • Published:
Czechoslovak Journal of Physics Aims and scope

Abstract

In the framework of noncommutative field theory we discuss a deformation (ncNLS) of the nonlinear Schrödinger (NLS) equation. In particular, a first order equation in the deformation parameter is obtained which generates a (Seiberg-Witten-type) map from NLS to ncNLS solutions.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M.R. Douglas and N.A. Nekrasov: hep-th/0106048.

  2. N. Seiberg and E. Witten: JHEP 09(1999)032.

  3. N.A. Nekrasov and A. Schwarz: Commun. Math. Phys.198 (1998) 689.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  4. A. Kapustin, A. Kuznetsov, and D. Orlov: hep-th/0002193.

  5. F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, and D. Sternheimer: Ann. Phys.111 (1978) 61.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  6. K. Takasaki: J. Geom. Phys.37 (2001) 291.

    Article  MATH  MathSciNet  Google Scholar 

  7. O. Lechtenfeld, A.D. Popov, and B. Spendig: Phys. Lett. B507 (2001) 317.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  8. M. Legaré: hep-th/0012077.

  9. A. Dimakis and F. Müller-Hoissen: Phys. Lett. A278 (2000) 139.

    Article  ADS  MathSciNet  Google Scholar 

  10. L.D. Paniak: hep-th/0105185.

  11. A. Dimakis and F. Müller-Hoissen: hep-th/0007015.

  12. A. Dimakis and F. Müller-Hoissen: J. Phys. A34 (2001) 2571.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  13. A. Dimakis and F. Müller-Hoissen: Lett. Math. Phys.54 (2000) 123.

    Article  MATH  MathSciNet  Google Scholar 

  14. T. Yoneya: Int. J. Mod. Phys. A16 (2001) 945. S. Doplicher: hep-th/0105251. N. Seiberg, L. Susskind, and N. Toumbas: JHEP 06(2000)021.

    Article  MATH  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dimakis, A., Müller-Hoissen, F. Noncommutative NLS equation. Czech J Phys 51, 1285–1290 (2001). https://doi.org/10.1023/A:1013357617074

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1013357617074

Keywords

Navigation