Theq-difference operator, the quantum hyperplane, Hilbert spaces of analytic functions andq-oscillators

DOI10.1007/BF01565589zbMath0941.58007MaRDI QIDQ4954342

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Publication date: 26 July 2000

Published in: Zeitschrift für Physik C Particles and Fields (Search for Journal in Brave)

zbMATH Keywords

\(q\)-difference operatorquantum deformationquantum derivatives

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Spaces of vector- and operator-valued functions (46E40) Differential forms in global analysis (58A10) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Noncommutative geometry (à la Connes) (58B34)

Related Items (10)

Quantum group structure on the quantum plane ⋮ On braid statistics and noncommutative calculus ⋮ Categories and quantum statistics ⋮ Construction of the generalised \(q\)-derivative operators ⋮ Finite \(q\)-differences and the discrete renormalization group ⋮ Quantum group-symmetric Fock spaces with Bargmann-Fock representation ⋮ Fock space representation of differential calculus on the noncommutative quantum space ⋮ On communication relations for quons ⋮ Quantum group symmetric Bargmann–Fock space: Integral kernels, Green functions, driving forces ⋮ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">q</mml:mi></mml:math>-analysis of Fractal Sets

Cites Work

• Differential calculus on compact matrix pseudogroups (quantum groups)
• On a Hilbert space of analytic functions and an associated integral transform part I
• Hilbert spaces of analytic functions and generalized coherent states
• BASIC INTEGRATION
• Covariant differential calculus on the quantum hyperplane

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