Solutions of the relativistic two-body problem. II. Quantum mechanics

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dc.contributor.authorCook, JLen_AU
dc.date.accessioned2020-09-03T00:02:02Zen_AU
dc.date.available2020-09-03T00:02:02Zen_AU
dc.date.issued1972-04en_AU
dc.date.statistics2020-01-01en_AU
dc.description.abstractThis 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 1972en_AU
dc.identifier.citationCook, J. L. (1972). Solutions of the relativistic two-body problem. II. Quantum mechanics. Australian Journal of Physics, 25(2), 141–146. doi:10.1071/PH720141en_AU
dc.identifier.govdoc9921en_AU
dc.identifier.issn1446-5582en_AU
dc.identifier.issue2en_AU
dc.identifier.journaltitleAustralian Journal of Physicsen_AU
dc.identifier.pagination141-146en_AU
dc.identifier.urihttps://doi.org/10.1071/PH720141en_AU
dc.identifier.urihttp://apo.ansto.gov.au/dspace/handle/10238/9766en_AU
dc.identifier.volume25en_AU
dc.language.isoenen_AU
dc.publisherCSIROen_AU
dc.subjectQuantum mechanicsen_AU
dc.subjectRelativity theoryen_AU
dc.subjectScatteringen_AU
dc.subjectAngular momentumen_AU
dc.subjectBosonsen_AU
dc.subjectHarmonic potentialen_AU
dc.titleSolutions of the relativistic two-body problem. II. Quantum mechanicsen_AU
dc.typeJournal Articleen_AU
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