Clebsch-Gordan problem and coefficients for the three-dimensional Lorentz group in a continuous basis. I

DOI10.1063/1.1666814zbMath0284.22002OpenAlexW4237076501MaRDI QIDQ4771455

Narasimhaiengar Mukunda, B. Radhakrishnan

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1063/1.1666814

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Structure and representation of the Lorentz group (22E43)

Related Items

Open strings in Lie groups and associative products, Lie algebras for systems with mixed spectra. I. The scattering Pöschl–Teller potential, The Schwinger SU(3) construction. I. Multiplicity problem and relation to induced representations, The Clebsch-Gordan problem and coefficients for the three-dimensional Lorentz group in a continuous basis. III, The Clebsch-Gordan problem and coefficients for the three-dimensional Lorentz group in a continuous basis. IV, SU(1,1) and the vector model for continuous bases, Canonical transforms. IV. Hyperbolic transforms: Continuous series of SL(2,R) representations, The Gel’fand realization and the generating function of the Clebsch–Gordan coefficients of SL(2,R) in the hyperbolic basis, The Clebsch–Gordan coefficients of the three-dimensional Lorentz algebra in the parabolic basis

Cites Work

• Irreducible unitary representations of the Lorentz group
• Matrices of finite Lorentz transformations in a noncompact basis. III. Completeness relation for O(2, 1)
• Spacelike representations of the inhomogeneous Lorentz group in a Lorentz basis
• Master Analytic Representation: Reduction of O(2, 1) in an O(1, 1) Basis
• New forms for the representations of the three-dimensional Lorentz group