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Title: Solutions of the relativistic two-body problem II quantum mechanics
Authors: Cook, JL
Keywords: Quantum mechanics
Relativity theory
Angular momentum
Harmonic potential
Issue Date: Apr-1972
Publisher: CSIRO
Citation: Cook, J. L. (1972). Solutions of the relativistic two-body problem. ii. quantum mechanics. Australian Journal of Physics, 25(2), 141–141. doi:10.1071/PH720141
Abstract: This paper discusses the formulation of a quantum mechanical equivalent of the relative time classical theory proposed in Part I. The relativistic wavefunction is derived and a covariant addition theorem is put forward which allows a covariant scattering theory to be established. The free particle eigenfunctions that are given are found not to be plane waves. A covariant partial wave analysis is also given. A means is described of converting wavefunctions that yield probability densities in 4-space to ones that yield the 3-space equivalents. Bound states are considered and covariant analogues of the Coulomb potential, harmonic oscillator potential, inverse cube law of force, square well potential, and two-body fermion interactions are discussed. © CSIRO 1972
Gov't Doc #: 9921
ISSN: 1446-5582
Appears in Collections:Journal Articles

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