Deformed Heisenberg algebra: origin of \(q\)-calculus

DOI10.1016/S0378-4371(03)00518-1zbMath1031.81034arXivquant-ph/0305032MaRDI QIDQ1408985

P. Narayana Swamy

Publication date: 28 September 2003

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0305032

zbMATH Keywords

Jackson derivativeHeisenberg equation of motion\(q\)-deformed Heisenberg uncertainty relation

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (13)

Eigenfunction expansion in the singular case for q-Sturm-Liouville operators ⋮ INTERPOLATING STATISTICS AND q-DEFORMED OSCILLATOR ALGEBRAS ⋮ Unnamed Item ⋮ On the resolvent of singular q-Sturm-Liouville operators ⋮ Quantization and quantum-like phenomena: a number amplitude approach ⋮ Existence of solutions for nonlinear singular $q$-Sturm - Liouville problems ⋮ An expansion theorem for q -Sturm-Liouville operators on the whole line ⋮ New oscillation criteria for second-order neutral functional dynamic equations via the generalized Riccati substitution ⋮ Fibonacci oscillators in the Landau diamagnetism problem ⋮ Limit-point criteria for q-Sturm-Liouville equations ⋮ Qualitative spectral analysis of singular \(q\)-Sturm-Liouville operators ⋮ q-DEFORMED FERMIONS: ALGEBRA, FOCK SPACE AND THERMODYNAMICS ⋮ Multi-dimensional q-deformed bosonic Newton oscillators and the related q-calculus, q-coherent states, and Hermite q-polynomials

Cites Work

• Comment on the q-deformed fermionic oscillator
• The many-body problem for q-oscillators
• Unitary representations of the q-oscillator algebra
• Transformation theory of the q-oscillator
• Unnamed Item
• Unnamed Item

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