The contraction of the SU(1,1) discrete series of representations by means of coherent states

DOI10.1063/1.531563zbMath0860.22013OpenAlexW1974614260MaRDI QIDQ5284784

Jacques Renaud

Publication date: 22 January 1997

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

Full work available at URL: https://doi.org/10.1063/1.531563

zbMATH Keywords

Hilbert spacesunitary representationsLie algebrascoadjoint orbitsquantum mechanicscoherent statesPoincaré group

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Applications of Lie groups to the sciences; explicit representations (22E70) Coherent states (81R30)

Related Items (3)

Gabor analysis as contraction of wavelets analysis ⋮ A contraction of the principal series representations of \(\mathrm{SL}(2,\mathbb{R})\) ⋮ Gaussian distributions on the space of symmetric positive definite matrices from Souriau's Gibbs state for Siegel domains by coadjoint orbit and moment map

Cites Work

• General concept of quantization
• On the contraction of the discrete series of \(SU(1,1)\)
• Relativistic quantum frames
• Lie algorithm for an interacting \(SU(1, 1)\) elementary system and its contraction
• Relativistic harmonic oscillator and space curvature
• New 'coherent' states associated with non-compact groups
• Contraction of Lie Groups
• Poincare contraction of SU(1,1) Fock-Bargmann structure
• Deformation and Contraction of Lie Algebras
• On the Contraction of Groups and Their Representations

This page was built for publication: The contraction of the SU(1,1) discrete series of representations by means of coherent states