0102114v4

related topics
{field, particle, equation}
{wave, scattering, interference}
{phase, path, phys}
{equation, function, exp}
{group, space, representation}
{let, theorem, proof}
{cavity, atom, atoms}
{cos, sin, state}

A Method for Deriving the Dirac Equation from the Relativistic Newton's Second Law

H. Y. Cui

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.

oai_identifier:
oai:arXiv.org:quant-ph/0102114
categories:
quant-ph
comments:
LaTeX, 4 pages, 2 figures, rewriten partly
arxiv_id:
quant-ph/0102114
created:
2001-02-22
updated:
2001-08-15

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