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Relativistic Two‐Fermion Problem with the Most General Electric and Magnetic Potentials
Author(s) -
Yilmazer A. Ulvi
Publication year - 1986
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.19860340504
Subject(s) - physics , hamiltonian (control theory) , fermion , bound state , positronium , quantum electrodynamics , wave function , mathematical physics , electron , quantum mechanics , classical mechanics , mathematics , positron , mathematical optimization
Abstract The energy equation of two spin‐1/2 particles interacting with their charges and anomalous magnetic moments is examined. Starting with the most general Hamiltonian already obtained by other authors, the relevant wave equation has been written in terms of the generators of the de Sitter group. The radial equations for four different two‐fermion systems are derived and the positronium case is studied in detail. Their bound state solutions are discussed and the similarity to the sixteen radial equations arrived at by other authors in completely different manner is pointed out.