The Schwinger SU(3) construction. I. Multiplicity problem and relation to induced representations

DOI10.1063/1.1508810zbMath1060.22011arXivquant-ph/0204119OpenAlexW2055546426MaRDI QIDQ4832794

S. Chaturvedi, Narasimhaiengar Mukunda

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0204119

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (7)

The Schwinger SU(3) construction. II. Relations between Heisenberg–Weyl and SU(3) coherent states ⋮ QUANTUM HALL EFFECT ON THE FLAG MANIFOLD F₂ ⋮ Irreducible SU(3) Schwinger bosons ⋮ Non-standard Schwinger fermionic representation of unitary group ⋮ Addition of SU(3) generators and its singlet Hilbert space ⋮ SU(N) irreducible Schwinger bosons ⋮ THE SCHWINGER REPRESENTATION OF A GROUP: CONCEPT AND APPLICATIONS

Cites Work

• Models of representations of classical groups and their hidden symmetries
• Irreducible unitary representations of the Lorentz group
• Coherent states for SU(3)
• On a Hilbert space of analytic functions and an associated integral transform part I
• Indistinguishability for quantum particles: spin, statistics and the geometric phase
• Clebsch-Gordan problem and coefficients for the three-dimensional Lorentz group in a continuous basis. I
• Tensor Methods and a Unified Representation Theory of SU3
• A Note on the Decomposition Structure of the Direct Product of Irreducible Representations of SU(3) by Tensor Method
• Wigner Coefficients for the S<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">U</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>Group and some Applications
• The Octet Model and its Clebsch-Gordan Coefficients
• On the Representations of the Rotation Group

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