1966/04/01 by Myron Bander, C. Itzykson · 1 citation
Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #Nuclear physics research studies #Physics #Lorentz group #Unitary representation #Group (periodic table) #Bound state #Scattering #Unitary state #Hydrogen atom #Group theory #Symmetry group #Wave function #Quantum mechanics #Coulomb #Group representation #Symmetry (geometry) #Unitary group #Lorentz transformation #Electron #Pure mathematics
paper · doi:10.1103/revmodphys.38.346
openalex publication_date 1966/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/22
A previous work dealing with bound states in a Coulomb potential is extended to the case of scattering states. The symmetry of the problem under the Lorentz group 0(1,3) is used to construct wave functions. Harmonic analysis on two-sheeted hyperboloids is briefly discussed in arbitrary dimension. The set of scattering states for both an attractive and a repulsive potential is shown to provide a unitary representation of the group 0(1, 4).