On a relativistically invariant formulation of the neutrino theory of light
Abstract
The neutrino theory of light, as developed by Jordan and Kronig, is given a relativistically invariant formulation by describing the neutrino field in terms of wave functions obeying Dirac's equation, the electromagnetic field on the other hand in terms of the six-vector E, H, and by expressing the Fourier coefficients of E and H as functions of the amplitudes of the neutrino field. Upon subjecting the latter to the commutation relations characteristic of particles satisfying Pauli's exclusion principle, there result for E and H the well-known commutation relations of the electromagnetic field vectors. The new view-point has as a consequence that in the formalism, previously developed by Jordan and Kronig, the two components of the wave function associated with the neutrinos must be considered as referring to states with positive and negative energy rather than to states differing by the orientation of the neutrino spin; a conclusion also arrived at recently by Born and Nagendra Nath.
- Publication:
-
Physica
- Pub Date:
- 1936
- DOI:
- 10.1016/S0031-8914(36)80340-1
- Bibcode:
- 1936Phy.....3.1120K