Coherent states on the m-sheeted covering group of SU(1,1)

DOI10.1063/1.530197zbMath0783.22010OpenAlexW1965300707MaRDI QIDQ4201789

A. Vourdas

Publication date: 6 September 1993

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

Full work available at URL: https://doi.org/10.1063/1.530197

zbMATH Keywords

clusteringHamiltonianscoherent statesquantum stateanalytic representations\(m\)-sheeted covering group of \(SU(1,1)\)extended Möbius conformal mappings

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Coherent states (81R30)

Related Items (3)

Coherent states on the m-sheeted complex plane ⋮ Coherency of su(1,1)-Barut–Girardello type and entanglement for spherical harmonics ⋮ New generalized coherent states arising from generating functions: a novel approach

Cites Work

• Kähler geometry of the infinite-dimensional homogeneous space \(M=Diff_+(S^ 1)/Rot(S^ 1)\)
• Complex angular momenta and the groups \(\mathrm{SU}(1,1)\) and \(\mathrm{SU}(2)\)
• Coherent states for arbitrary Lie group
• Irreducible unitary representations of the Lorentz group
• On a Hilbert space of analytic functions and an associated integral transform part I
• Generalised coherent states and group representations on Hilbert spaces of analytic functions
• QUANTIZATION IN COMPLEX SYMMETRIC SPACES
• Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet

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