Quantum group symmetric Bargmann–Fock space: Integral kernels, Green functions, driving forces

DOI10.1063/1.530204zbMath0796.17016OpenAlexW2094286045MaRDI QIDQ4201764

Achim Kempf

Publication date: 6 September 1993

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

Full work available at URL: https://doi.org/10.1063/1.530204

zbMATH Keywords

quantum planeraising and lowering operatorsdriving forcesapplications of quantum groups

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (9)

Maximal localization in the presence of minimal uncertainties in positions and in momenta ⋮ Categories and quantum statistics ⋮ Algebraic q-integration and Fourier theory on quantum and braided spaces ⋮ Noncommutative geometry for arbitrary braidings ⋮ Uncertainty relation in quantum mechanics with quantum group symmetry ⋮ On quantum field theory with nonzero minimal uncertainties in positions and momenta ⋮ \(q\)-functional integrals in anyonic physics ⋮ Quantum gravity effects on statistics and compact star configurations ⋮ Properties of the algebra of \(q\)-deformed commutators in indefinite-metric space

Cites Work

• Twisted second quantization
• Quantum group-symmetric Fock spaces with Bargmann-Fock representation
• 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
• QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS
• Theq-difference operator, the quantum hyperplane, Hilbert spaces of analytic functions andq-oscillators

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