On first order wave equations for elementary particles without subsidiary conditions
Open Access
- 11 November 1947
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 191 (1025), 253-268
- https://doi.org/10.1098/rspa.1947.0114
Abstract
The possibility of extending the application of the formalism used for the electron and meson fields, as developed from the equation $\partial _{k}\beta ^{k}\psi $ = i$\kappa \psi $ to other types of field, is investigated. It is shown that, subject to the conditions that (1) the equations must contain no subsidiary conditions, (2) either the total energy must be positive definite, or it must be possible to quantize the equations according to Fermi statistics without using an indefinite metric in Hilbert space, no such extension is possible.
Keywords
This publication has 2 references indexed in Scilit:
- Relativistic Wave Equations for the Elementary ParticlesReviews of Modern Physics, 1945
- Zum Problem der Anaphylaxie mit chemisch bekannten SubstanzenHelvetica Chimica Acta, 1939