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Deformed $C_{\lambda}$-Extended Heisenberg Algebra in Non-commutative Phase-Space

Mathematical Physics 2010-11-26 v1 math.MP

Abstract

We construct a deformed CλC_{\lambda}-extended Heisenberg algebra in two-dimensional space using non-commuting coordinates which close an algebra depends on statistical parameter characterizing exotic particles. The obtained symmetry is nothing but an exotic particles algebra interpolating between bosonic and deformed fermionic algebras.

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Cite

@article{arxiv.math-ph/0506013,
  title  = {Deformed $C_{\lambda}$-Extended Heisenberg Algebra in Non-commutative Phase-Space},
  author = {Jamila Douari},
  journal= {arXiv preprint arXiv:math-ph/0506013},
  year   = {2010}
}

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10 pages