dorsal/arxiv
View SchemaOn the Equation H=mv^2 and the Fine Structure of the Hydrogen Atom
| Authors | Ezzat G. Bakhoum |
|---|---|
| Categories | |
| ArXiv ID | physics/0207107 |
| URL | https://arxiv.org/abs/physics/0207107 |
| DOI | 10.4006/1.3025551 |
| Journal | Physics Essays, Vol.15, No.4, 2002 |
Abstract
The recently introduced reconciliation of the theories of special relativity and wave mechanics implies that the mass-energy equivalence principle must be expressed mathematically as H = mv^2, where H is the total energy of a particle, m is its relativistic mass, and v is its velocity; not H = mc^2 as was widely believed. In this paper, the equation H = mv^2 will be used to calculate the energy levels in the spectrum of the hydrogen atom. It is demonstrated that the well-known Sommerfeld-Dirac formula is still obtained, but without the constant term m_0 c^2 that was originally present in the formula.
{
"annotation_id": "97b2567a-2487-43a9-9915-f26fbe1010dd",
"date_created": "2026-03-02T18:00:39.813000Z",
"date_modified": "2026-03-02T18:00:39.813000Z",
"file_hash": "55112ad4982b2acbeb4811607be3fc49e6c96b1a2406f2b2a63a99a3bdae17d2",
"private": false,
"record": {
"abstract": "The recently introduced reconciliation of the theories of special relativity\nand wave mechanics implies that the mass-energy equivalence principle must be\nexpressed mathematically as H = mv^2, where H is the total energy of a\nparticle, m is its relativistic mass, and v is its velocity; not H = mc^2 as\nwas widely believed. In this paper, the equation H = mv^2 will be used to\ncalculate the energy levels in the spectrum of the hydrogen atom. It is\ndemonstrated that the well-known Sommerfeld-Dirac formula is still obtained,\nbut without the constant term m_0 c^2 that was originally present in the\nformula.",
"arxiv_id": "physics/0207107",
"authors": [
"Ezzat G. Bakhoum"
],
"categories": [
"physics.gen-ph"
],
"doi": "10.4006/1.3025551",
"journal_ref": "Physics Essays, Vol.15, No.4, 2002",
"title": "On the Equation H=mv^2 and the Fine Structure of the Hydrogen Atom",
"url": "https://arxiv.org/abs/physics/0207107"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "9ffc43b8-0da8-476c-8e81-c8a8aa5d5f52",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}