dorsal/arxiv
View SchemaThe interparticle interaction and noncommutativity of conjugate operators in quantum mechanics. $H$-like atoms
| Authors | A. I. Steshenko |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0410018 |
| URL | https://arxiv.org/abs/nucl-th/0410018 |
Abstract
A quantum mechanical model for the systems consisting of interacting bodies is considered. The model takes into account the noncommutativity of the space and impulse operators and the correlation equations for the indeterminacy of these quantities. The noncommutativity of the operators is here a result of the action of the interparticle forces and represents a natural generalization of the conventional commutation relation for the space and impulse operators for a single particle. The efficiency of the model is demonstrated by specific calculations concerning several well-known atomic systems.
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"date_created": "2026-03-02T18:00:00.604000Z",
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"abstract": "A quantum mechanical model for the systems consisting of interacting bodies\nis considered. The model takes into account the noncommutativity of the space\nand impulse operators and the correlation equations for the indeterminacy of\nthese quantities. The noncommutativity of the operators is here a result of the\naction of the interparticle forces and represents a natural generalization of\nthe conventional commutation relation for the space and impulse operators for a\nsingle particle. The efficiency of the model is demonstrated by specific\ncalculations concerning several well-known atomic systems.",
"arxiv_id": "nucl-th/0410018",
"authors": [
"A. I. Steshenko"
],
"categories": [
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"title": "The interparticle interaction and noncommutativity of conjugate operators in quantum mechanics. $H$-like atoms",
"url": "https://arxiv.org/abs/nucl-th/0410018"
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