Deformed $C_λ$-Extended Heisenberg Algebra in Non-commutative Phase-Space

Details Deformed $C_λ$-Extended Heisenberg Algebra in Non-commutative Phase-Space Deformed $C_λ$-Extended Heisenberg Algebra in Non-commutative Phase-Space

2005-06-04

arxiv.org/abs/math-ph/0506013v1

Int.J.Theor.Phys.45:867-879,2006

Physics

Mathematical Physics

10 pages

Scientific paper

10.1007/s10773-006-9079-2

We construct a deformed $C_{\lambda}$-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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