Group Theory and the Hydrogen Atom (II)

M. BANDER and C. ITZYKSON
Rev. Mod. Phys. 38, 346 – Published 1 April 1966
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Abstract

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).

    DOI:https://doi.org/10.1103/RevModPhys.38.346

    ©1966 American Physical Society

    Authors & Affiliations

    M. BANDER and C. ITZYKSON*

    • Stanford Linear Accelerator Center, Stanford University, Stanford, California

    • *On leave from Service de Physique Theorique, CEN Saclay, BP No. 2, Gif-sur-Yvette (Seine et Oise), France.

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    Issue

    Vol. 38, Iss. 2 — April - June 1966

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