\(SU(2)_ q\) in a Hilbert space of analytic functions

DOI10.1007/BF00675084zbMath0767.46016OpenAlexW2064250446MaRDI QIDQ1200610

Simón Codriansky

Publication date: 16 January 1993

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00675084

zbMATH Keywords

irreducible representationreproducing kernelprincipal vectorsClebsch-Gordan coefficientsnoncommutativityHilbert space of analytic functionsBargmann's approach to the rotation groupdifferential realization of operators that satisfy \(q\)-algebra commutation relationsWeyl realization

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items (2)

The matrix product representation for the \(q\)-VBS state of one-dimensional higher integer spin model ⋮ Localized states in deformed quantum mechanics

Cites Work

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• \(U_q(\mathrm{sl}(2))\) invariant operators and minimal theories fusion matrices
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• On a Hilbert space of analytic functions and an associated integral transform part I
• A q-analogue of Bargmann space and its scalar product
• A simple derivation of the quantum Clebsch–Gordan coefficients for SU(2)q
• The quantum group SU_q(2) and a q-analogue of the boson operators
• A completeness relation for the q-analogue coherent states by q-integration
• On Clebsch–Gordan coefficients and matrix elements of representations of the quantum algebra U q(su2)
• Hilbert spaces of analytic functions and generalized coherent states
• On the Representations of the Rotation Group
• BASIC INTEGRATION

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