dorsal/arxiv
View SchemaDirac's fine-structure formula for an "abnormally high" nuclear charge
| Authors | A. Loinger |
|---|---|
| Categories | |
| ArXiv ID | physics/0201003 |
| URL | https://arxiv.org/abs/physics/0201003 |
Abstract
In Dirac's fine-structure formula for the hydrogenlike atoms a critical role is played by the square root of the following expression: the unity minus the square of the product of the atomic number by the fine-structure constant (which is approximately equal to 1/137). Indeed, for a fictitious, ideal nucleus for which the above product is greater than or equal to one, the mentioned square root becomes imaginary, or zero. I prove in this Note that the origin of such theoretical "breaking down" is quite simple and is inherent in the special theory of relativity of classical physics.
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"abstract": "In Dirac\u0027s fine-structure formula for the hydrogenlike atoms a critical role\nis played by the square root of the following expression: the unity minus the\nsquare of the product of the atomic number by the fine-structure constant\n(which is approximately equal to 1/137). Indeed, for a fictitious, ideal\nnucleus for which the above product is greater than or equal to one, the\nmentioned square root becomes imaginary, or zero. I prove in this Note that the\norigin of such theoretical \"breaking down\" is quite simple and is inherent in\nthe special theory of relativity of classical physics.",
"arxiv_id": "physics/0201003",
"authors": [
"A. Loinger"
],
"categories": [
"physics.gen-ph"
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"title": "Dirac\u0027s fine-structure formula for an \"abnormally high\" nuclear charge",
"url": "https://arxiv.org/abs/physics/0201003"
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