# Quaternion Treatment of the Relativistic Wave Equation

@article{Conway1937QuaternionTO, title={Quaternion Treatment of the Relativistic Wave Equation}, author={A. W. Conway}, journal={Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences}, year={1937}, volume={162}, pages={145-154} }

A set of matrices can be found which is isomorphic with any linear associative algebra. For the case of quaternions this was first shown by Cayley (1858), but the first formal representation was made by Peirce (1875, 1881). These were two-matrices, and the introduction of the four-row matrices of Dirac and Eddington necessitated the treatment of a wave function as a matrix of one row (as columns). Quaternions have been used by Lanczos (1929) to discuss a different form of wave equation, but… Expand