dorsal/arxiv
View SchemaA geometric algebra approach to the hydrogen atom
| Authors | Jose B. Almeida |
|---|---|
| Categories | |
| ArXiv ID | physics/0602116 |
| URL | https://arxiv.org/abs/physics/0602116 |
Abstract
Monogenic functions in the algebra of 5-dimensional spacetime have been used previously by the author as first principle in different areas of fundamental physics; the paper recovers that principle applying it to the hydrogen atom. The equation that results from the monogenic condition is formally equivalent to Dirac's and so its solutions resemble closely those found in the literature. The use of the monogenic condition as point of departure as not only the advantage of being a unified approach but also provides very strong links with geometry that are completely lost in the usual approach.
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"abstract": "Monogenic functions in the algebra of 5-dimensional spacetime have been used\npreviously by the author as first principle in different areas of fundamental\nphysics; the paper recovers that principle applying it to the hydrogen atom.\nThe equation that results from the monogenic condition is formally equivalent\nto Dirac\u0027s and so its solutions resemble closely those found in the literature.\nThe use of the monogenic condition as point of departure as not only the\nadvantage of being a unified approach but also provides very strong links with\ngeometry that are completely lost in the usual approach.",
"arxiv_id": "physics/0602116",
"authors": [
"Jose B. Almeida"
],
"categories": [
"physics.atom-ph",
"physics.gen-ph"
],
"title": "A geometric algebra approach to the hydrogen atom",
"url": "https://arxiv.org/abs/physics/0602116"
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