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Title: Solutions of the relativistic two-body problem II quantum mechanics.
Authors: Cook, JL
Issue Date: Aug-1972
Publisher: Australian Nuclear Science and Technology Organisation
Abstract: This second paper of a series discusses the formulation of the quantum mechanical equivalent of the relative time classical theory put forward in Part 1. The relativistic wave function is derived and a covariant addition theorem put forward which allows a covariant scattering theory to be established. The free particle eigenfunctions are not plane waves and a covariant partial wave analysis is given. A means is given by which wave functions which yield probability densities in 4-space can be converted to ones yielding the equivalent 3-space density. Bound states are considered and covariant analogues are given of the harmonic oscillator potential, Coulomb potential, the square well potential, and two-body fermion interactions.
ISBN: 064299482X
Appears in Collections:Scientific and Technical Reports

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