Study of quommutators of quantum variables and generalized derivatives

DOI10.1063/1.530350zbMath0801.17030arXivhep-th/9303132OpenAlexW3103603998MaRDI QIDQ4276699

David B. Fairlie, Jean Nuyts

Publication date: 5 December 1994

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9303132

zbMATH Keywords

representations\(q\)-derivativesdeformation of Heisenberg algebraquommutation relationssymmetric quantum derivatives

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie (super)algebras to physics, etc. (17B81) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (2)

On certain quantum deformations of gl(N,R) ⋮ Fock space representation of differential calculus on the noncommutative quantum space

Cites Work

• Multiparameter associative generalizations of canonical commutation relations and quantized planes
• Twisted second quantization
• Differential calculus on compact matrix pseudogroups (quantum groups)
• DEFORMATION OF THE QUANTUM MECHANICAL PHASE SPACE WITH BOSONIC OR FERMIONIC COORDINATES
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• The quantum group SU_q(2) and a q-analogue of the boson operators
• Analysis of the basic matrix representation ofGL q(2,C)
• A q-deformed completely integrable Bose gas model
• Example of infinite statistics

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