Open AccessThe operational wave equation and the energy levels of the hydrogen atom
Author(s) -
G. Temple
Publication year - 1930
Publication title -
proceedings of the royal society of london. series a, containing papers of a mathematical and physical character
Language(s) - English
Resource type - Journals
eISSN - 2053-9150
pISSN - 0950-1207
DOI - 10.1098/rspa.1930.0063
Subject(s) - dirac equation , wave equation , hydrogen atom , dirac (video compression format) , mathematics , wave function , dirac algebra , mathematical physics , physics , mathematical analysis , quantum mechanics , neutrino , group (periodic table)
The operational wave equation used in this paper is a generalisation of the linear wave equation introduced by Dirac. The generalisation consists in replacing Dirac’s matrices by any four linear operators (A1 , A2 , A3 , A4 ), which satisfy Dirac’s conditions, ½ (Am An + An Am ) = 0 ifm ≠n , (1.1) 1 ifm =n . The operational wave equation for free space is therefore.