Please use this identifier to cite or link to this item:
https://apo.ansto.gov.au/dspace/handle/10238/849
Title: | Solutions of the relativistic two-body problem II quantum mechanics |
Authors: | Cook, JL |
Keywords: | Quantum mechanics Relativity theory Scattering Angular momentum Bosons Harmonic potential |
Issue Date: | Aug-1972 |
Publisher: | Australian Atomic Energy Commission |
Citation: | Cook, J. L. (1972). Solutions of the relativistic two-body problem II quantum mechanics. (AAEC-TM-602). Lucas Heights, NSW: Australian Atomic Energy Commission. |
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. RESEARCH ARTICLE Previous Next Contents Vol 25 (2) Solutions of the Relativistic Two-Body Problem. II. Quantum Mechanics JL Cook Australian Journal of Physics 25(2) 141 - 166 Published: 1972 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. |
Gov't Doc #: | 859 |
URI: | http://apo.ansto.gov.au/dspace/handle/10238/849 |
ISBN: | 064299482X |
Other Identifiers: | AAEC-TM-602 |
Appears in Collections: | Scientific and Technical Reports |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
AAEC-TM-602.pdf | 609.65 kB | Adobe PDF | ![]() View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.