International Journal of Theoretical Physics

, Volume 35, Issue 12, pp 2527–2538 | Cite as

Theq-symplectic form on the quantum hyperplane and noncommutative Hamiltonian mechanics

  • Zhong Zai-Zhe


Theq-fields,q-curves, andq-symplectic forms on the quantum hyperplane are given by the use of theq-sequences method. With these structures we discuss a possible noncommutative Hamiltonian mechanical system and give two concrete examples.


Field Theory Elementary Particle Quantum Field Theory Mechanical System Hamiltonian Mechanic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Aref'eva, I. Ya., and Volovich, I. V. (1991). CERN-TH 6137/91.Google Scholar
  2. Caban, P., Dobrosielski, A., Krajewska, A., and Walczak, Z. (1994).Physics Letters B,327, 287.Google Scholar
  3. Manin, Yu. I. (1988). Quantum groups and non-commutative geometry, Preprint Montreal University CRM-1561.Google Scholar
  4. Wess, J., and Zumino, B. (1990). CERN-TH-5697/90.Google Scholar
  5. Zhong Zai-Zhe (1993).Journal of Physics A: Mathematical and General,26, L391.Google Scholar
  6. Zhong Zai-Zhe (1994a).Journal of Physics A: Mathematical and General,27, 425.Google Scholar
  7. Zhong Zai-Zhe (1994b).Modern Physics Letters A,9, 2315.Google Scholar
  8. Zhong Zai-Zhe (1995a).Physical Review A,52, 2564.Google Scholar
  9. Zhong Zai-Zhe (1995b).Communications in Theoretical Physics,24, 213.Google Scholar

Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • Zhong Zai-Zhe
    • 1
  1. 1.Department of PhysicsLiaoning Normal UniversityLiaoningChina

Personalised recommendations