dorsal/arxiv
View SchemaA Method for Deriving the Dirac Equation from the Relativistic Newton's Second Law
| Authors | H. Y. Cui |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0102114 |
| URL | https://arxiv.org/abs/quant-ph/0102114 |
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.
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"abstract": "The derivation becomes possible when we find a new formalism which connects\nthe relativistic mechanics with the quantum mechanics. In this paper, we\nexplore the quantum wave nature from the Newtonian mechanics by using a\nconcept: velocity field. At first, we rewrite the relativistic Newton\u0027s second\nlaw as a field equation in terms of the velocity field, which directly reveals\na new relationship connecting to the quantum mechanics. Next, we show that the\nDirac equation can be derived from the field equation in a rigorous and\nconsistent manner.",
"arxiv_id": "quant-ph/0102114",
"authors": [
"H. Y. Cui"
],
"categories": [
"quant-ph"
],
"title": "A Method for Deriving the Dirac Equation from the Relativistic Newton\u0027s Second Law",
"url": "https://arxiv.org/abs/quant-ph/0102114"
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