Coherent states and annihilation–creation operators associated with the irreducible unitary representations of 𝔰𝔲(1,1)

DOI10.1063/1.1470707zbMath1059.81091OpenAlexW2038216577MaRDI QIDQ4830798

Fuminori Sakaguchi, Masahito Hayashi

Publication date: 14 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1470707

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Applications of Lie (super)algebras to physics, etc. (17B81) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Coherent states (81R30)

Related Items (4)

Coherency of su(1,1)-Barut–Girardello type and entanglement for spherical harmonics ⋮ General Theory for Integer-Type Algorithm for Higher Order Differential Equations ⋮ Practical Implementation and Error Bound of Integer-Type Algorithm for Higher-Order Differential Equations ⋮ New generalized coherent states arising from generating functions: a novel approach

Cites Work

• Non-Abelian harmonic analysis. Applications of \(SL(2,{\mathbb{R}})\)
• Ten Lectures on Wavelets
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