On quantum weyl algebras and generalized quons

WŁadysŁaw Marcinek

Banach Center Publications (1997)

  • Volume: 40, Issue: 1, page 397-402
  • ISSN: 0137-6934

Abstract

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The model of generalized quons is described in an algebraic way as certain quasiparticle states with statistics determined by a commutation factor on an abelian group. Quantization is described in terms of quantum Weyl algebras. The corresponding commutation relations and scalar product are also given.

How to cite

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Marcinek, WŁadysŁaw. "On quantum weyl algebras and generalized quons." Banach Center Publications 40.1 (1997): 397-402. <http://eudml.org/doc/252233>.

@article{Marcinek1997,
abstract = {The model of generalized quons is described in an algebraic way as certain quasiparticle states with statistics determined by a commutation factor on an abelian group. Quantization is described in terms of quantum Weyl algebras. The corresponding commutation relations and scalar product are also given.},
author = {Marcinek, WŁadysŁaw},
journal = {Banach Center Publications},
keywords = {generalized quons; quasiparticle states with statistics; quantum Weyl algebras; commutation relations; scalar product},
language = {eng},
number = {1},
pages = {397-402},
title = {On quantum weyl algebras and generalized quons},
url = {http://eudml.org/doc/252233},
volume = {40},
year = {1997},
}

TY - JOUR
AU - Marcinek, WŁadysŁaw
TI - On quantum weyl algebras and generalized quons
JO - Banach Center Publications
PY - 1997
VL - 40
IS - 1
SP - 397
EP - 402
AB - The model of generalized quons is described in an algebraic way as certain quasiparticle states with statistics determined by a commutation factor on an abelian group. Quantization is described in terms of quantum Weyl algebras. The corresponding commutation relations and scalar product are also given.
LA - eng
KW - generalized quons; quasiparticle states with statistics; quantum Weyl algebras; commutation relations; scalar product
UR - http://eudml.org/doc/252233
ER -

References

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  15. [15] W. Marcinek, On the deformation of commutation relations, in Proceedings of the XIII Workshop in Geometric Methods in Physics, July 1-7, 1994 Białowieża, Poland, ed. by J-P. Antoine et al, Plenum Press 1995. 
  16. [16] J. C. Baez, Lett. Math. Phys. 23, 1333, (1991). 
  17. [17] W. Marcinek and R. Rałowski, Particle operators from braided geometry, in 'Quantum Groups, Formalism and Applications' XXX Karpacz Winter School in Theoretical Physics, 1994, Eds. J. Lukierski et al., 149-154 (1995). 
  18. [18] W. Marcinek and Robert Rałowski, On Wick Algebras with Braid Relations, Preprint IFT UWr 876/9, (1994) and J. Math. Phys. 36, 2803, (1995). Zbl0883.46047
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