The quantum relativistic two-body bound state. II. The induced representation of SL(2,C)

DOI10.1063/1.528456zbMath0712.22014OpenAlexW2035323336MaRDI QIDQ3497291

Lawrence P. Horwitz, Rafael I. Arshansky

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528456

zbMATH Keywords

irreducible representationsLorentz transformationsinduced representationsCasimir operatorsprincipal seriessymmetric potentialquantum relativistic bound state

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Many-body theory; quantum Hall effect (81V70)

Related Items

Green functions for wave propagation on a five-dimensional manifold and the associated gauge fields generated by a uniformly moving point source, Induced representations of tensors and spinors of any rank in the Stueckelberg-Horwitz-Piron theory, Group-theoretical construction of the quantum relativistic harmonic oscillator, On Feynman’s approach to the foundations of gauge theory, Criterion for stability of a special relativistically covariant dynamical system, Off-shell phenomena in Coulomb scattering., Lorentz invariant Berry phase for a perturbed relativistic four dimensional harmonic oscillator, The unstable system in relativistic quantum mechanics, Discrete symmetries of off-shell electromagnetism, Dynamical group of the relativistic Kepler problem, Radiation fields of a uniformly accelerating point source in the framework of Stueckelberg’s manifestly covariant relativistic dynamics

Cites Work

• Irreducible unitary representations of the Lorentz group
• The quantum relativistic two-body bound state. I. The spectrum