dorsal/arxiv
View SchemaThe ubiquitous XP commutator
| Authors | A. C. de la Torre |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0509171 |
| URL | https://arxiv.org/abs/quant-ph/0509171 |
| DOI | 10.1088/0143-0807/27/2/005 |
| Journal | Eur.J.Phys. 27 (2006) 225-230 |
Abstract
Position and momentum of a particle can take any value in a continuous spectrum; these values are independent but their indeterminacies are correlated; momentum and position are mutually the generators of the transformations in each other. It is shown in a concise way, how all these features arise solely from their commutation relation $[X,P]=i\hbar$. The article is complete and self contained, adequate for didactic use.
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"abstract": "Position and momentum of a particle can take any value in a continuous\nspectrum; these values are independent but their indeterminacies are\ncorrelated; momentum and position are mutually the generators of the\ntransformations in each other. It is shown in a concise way, how all these\nfeatures arise solely from their commutation relation $[X,P]=i\\hbar$. The\narticle is complete and self contained, adequate for didactic use.",
"arxiv_id": "quant-ph/0509171",
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"doi": "10.1088/0143-0807/27/2/005",
"journal_ref": "Eur.J.Phys. 27 (2006) 225-230",
"title": "The ubiquitous XP commutator",
"url": "https://arxiv.org/abs/quant-ph/0509171"
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