A Method for Deriving the Dirac Equation from the Relativistic Newton's Second Law
Quantum Physics
2007-05-23 v4
Abstract
The derivation becomes possible when we find a new formalism which connects the relativistic mechanics with the quantum mechanics. In this paper, we explore the quantum wave nature from the Newtonian mechanics by using a concept: velocity field. At first, we rewrite the relativistic Newton's second law as a field equation in terms of the velocity field, which directly reveals a new relationship connecting to the quantum mechanics. Next, we show that the Dirac equation can be derived from the field equation in a rigorous and consistent manner.
Cite
@article{arxiv.quant-ph/0102114,
title = {A Method for Deriving the Dirac Equation from the Relativistic Newton's Second Law},
author = {H. Y. Cui},
journal= {arXiv preprint arXiv:quant-ph/0102114},
year = {2007}
}
Comments
LaTeX, 4 pages, 2 figures, rewriten partly