Multiparameter associative generalizations of canonical commutation relations and quantized planes
Nov, 19907 pages
Published in:
- Phys.Lett.B 256 (1991) 43-49
- Published: 1991
Report number:
- ANL-HEP-PR-90-107,
- DTP-90-59
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Abstract: (Elsevier)
We explicitly deform classical oscillators to multiparameter quantum oscillators which do not commute with each other. These “anyonic” oscillators lead to the construction of a consistent quantum algebra GL q ( N ) with 1 2 (N−1)(N−2) dependent parameters, some of whose features and applications we discuss.- Hamiltonian formalism
- algebra: oscillator
- algebra: deformation
- quantum algebra
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