2001/02/22 by H. Y. Cui, Cui, H. Y.
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Quantum Physics (quant-ph) #Relativity and Gravitational Theory #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0102114
LaTeX, 4 pages, 2 figures, rewriten partly
openalex publication_date 2001/02/22 · arxiv created 2001/08/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.