Coherent states for SU(3)

DOI10.1063/1.1385563zbMath1011.81023arXivquant-ph/0012099OpenAlexW3106436670MaRDI QIDQ2775028

Manu Mathur, Diptiman Sen

Publication date: 26 February 2002

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0012099

zbMATH Keywords

resolution of identitycontinuity propertybosonic creation and annihilation operatorscompletely symmetric representationsmixed representations

Mathematics Subject Classification ID

Quantum optics (81V80) Many-body theory; quantum Hall effect (81V70) Coherent states (81R30) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (15)

Flag manifold sigma models. Spin chains and integrable theories ⋮ Separation of unistochastic matrices from the double stochastic ones: Recovery of a 3×3 unitary matrix from experimental data ⋮ The Schwinger SU(3) construction. I. Multiplicity problem and relation to induced representations ⋮ SU (N) coherent states ⋮ Classical Yang-Mills observables from amplitudes ⋮ Generalization of the Haldane conjecture to \(\operatorname{SU}(3)\) chains ⋮ Three-player quantum Kolkata restaurant problem under decoherence ⋮ Coherent state for a relativistic spinless particle ⋮ Parameter differentiation and quantum state decomposition for time varying Schrödinger equations ⋮ QUANTUM HALL EFFECT ON THE FLAG MANIFOLD F₂ ⋮ Generalization of the Haldane conjecture to \(\mathrm{SU}(n)\) chains ⋮ Irreducible SU(3) Schwinger bosons ⋮ New coherent string states and minimal uncertainty in WZWN models ⋮ An Introduction to Multi-player, Multi-choice Quantum Games: Quantum Minority Games & Kolkata Restaurant Problems ⋮ A new quantum scheme for normal-form games

Cites Work

• SU(3) revisited
• A generalized Pancharatnam geometric phase formula for three-level quantum systems
• Coherent states and the classical limit on irreducible representations
• Analytic representations based onSU(1 , 1) coherent states and their applications
• Coherent states of SU(N) groups
• A calculus for SU(3) leading to an algebraic formula for the Clebsch–Gordan coefficients

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