The symmetry algebra and conserved Currents for Klein-Gordon equation on quantum Minkowski space

MaŁgorzata Klimek

Banach Center Publications (1997)

  • Volume: 40, Issue: 1, page 387-395
  • ISSN: 0137-6934

Abstract

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The symmetry operators for Klein-Gordon equation on quantum Minkowski space are derived and their algebra is studied. The explicit form of the Leibniz rules for derivatives and variables for the case Z=0 is given. It is applied then with symmetry operators to the construction of the conservation law and the explicit form of conserved currents for Klein-Gordon equation.

How to cite

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Klimek, MaŁgorzata. "The symmetry algebra and conserved Currents for Klein-Gordon equation on quantum Minkowski space." Banach Center Publications 40.1 (1997): 387-395. <http://eudml.org/doc/252234>.

@article{Klimek1997,
abstract = {The symmetry operators for Klein-Gordon equation on quantum Minkowski space are derived and their algebra is studied. The explicit form of the Leibniz rules for derivatives and variables for the case Z=0 is given. It is applied then with symmetry operators to the construction of the conservation law and the explicit form of conserved currents for Klein-Gordon equation.},
author = {Klimek, MaŁgorzata},
journal = {Banach Center Publications},
keywords = {conserved currents; Noether theorem; quantum Minkowski space; Klein-Gordon equation},
language = {eng},
number = {1},
pages = {387-395},
title = {The symmetry algebra and conserved Currents for Klein-Gordon equation on quantum Minkowski space},
url = {http://eudml.org/doc/252234},
volume = {40},
year = {1997},
}

TY - JOUR
AU - Klimek, MaŁgorzata
TI - The symmetry algebra and conserved Currents for Klein-Gordon equation on quantum Minkowski space
JO - Banach Center Publications
PY - 1997
VL - 40
IS - 1
SP - 387
EP - 395
AB - The symmetry operators for Klein-Gordon equation on quantum Minkowski space are derived and their algebra is studied. The explicit form of the Leibniz rules for derivatives and variables for the case Z=0 is given. It is applied then with symmetry operators to the construction of the conservation law and the explicit form of conserved currents for Klein-Gordon equation.
LA - eng
KW - conserved currents; Noether theorem; quantum Minkowski space; Klein-Gordon equation
UR - http://eudml.org/doc/252234
ER -

References

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  1. [1] M. Klimek, J. Phys. A: Math. & Gen. 26 (1993), 955. 
  2. [2] M. Klimek, in Papers of the 3 r d International Colloquium on Quantum Groups and Physics, Czechoslovak J.Phys. 44 (1994), 1049. 
  3. [3] M. Klimek, J. Phys. A: Math. & Gen. 29 (1996), 1747. 
  4. [4] M. Klimek, in preparation. 
  5. [5] S. Majid, J.M.P. 34 (1993), 2045. 
  6. [6] S. Majid, J.M.P. 34 (1993), 4843. 
  7. [7] P. Podleś, Commun. Math. Phys. 181 (1996), 569. 
  8. [8] P. Podleś and S.L. Woronowicz, On the Structure of Inhomogenous Quantum Groups, hep-th 9412058, UC Berkeley preprint PAM 631, to appear in Commun. Math. Phys. Zbl0881.17013
  9. [9] P. Podleś and S.L. Woronowicz, Commun. Math. Phys. 178 (1996), 61. 
  10. [10] Y. Takahashi, An Introduction to Field Quantization, Pergamon Press, Oxford 1969 and references therein. 

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