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

Banach Center Publications (1997)

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

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topKlimek, 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

top- [1] M. Klimek, J. Phys. A: Math. & Gen. 26 (1993), 955.
- [2] M. Klimek, in Papers of the ${3}^{r}d$ International Colloquium on Quantum Groups and Physics, Czechoslovak J.Phys. 44 (1994), 1049.
- [3] M. Klimek, J. Phys. A: Math. & Gen. 29 (1996), 1747.
- [4] M. Klimek, in preparation.
- [5] S. Majid, J.M.P. 34 (1993), 2045.
- [6] S. Majid, J.M.P. 34 (1993), 4843.
- [7] P. Podleś, Commun. Math. Phys. 181 (1996), 569.
- [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] P. Podleś and S.L. Woronowicz, Commun. Math. Phys. 178 (1996), 61.
- [10] Y. Takahashi, An Introduction to Field Quantization, Pergamon Press, Oxford 1969 and references therein.

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