dorsal/arxiv
View SchemaA Simple Derivation of Schroedinger Uncertainty Relation
| Authors | Gustavo Rigolin |
|---|---|
| Categories | |
| ArXiv ID | physics/0510275 |
| URL | https://arxiv.org/abs/physics/0510275 |
| DOI | 10.1088/0143-0807/36/6/065007 |
| Journal | Eur. J. Phys. 36, 065007 (2015) |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We show how the Schroedinger Uncertainty Relation for a pair of observables can be deduced using the Cauchy-Schwarz inequality plus successive applications of the commutation relation involving the two observables. Our derivation differs from the original one in the sense that we do not need the expansion of the product of these two observables in a sum of symmetrical and anti-symmetrical operators.
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"abstract": "We show how the Schroedinger Uncertainty Relation for a pair of observables\ncan be deduced using the Cauchy-Schwarz inequality plus successive applications\nof the commutation relation involving the two observables. Our derivation\ndiffers from the original one in the sense that we do not need the expansion of\nthe product of these two observables in a sum of symmetrical and\nanti-symmetrical operators.",
"arxiv_id": "physics/0510275",
"authors": [
"Gustavo Rigolin"
],
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"physics.ed-ph",
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"doi": "10.1088/0143-0807/36/6/065007",
"journal_ref": "Eur. J. Phys. 36, 065007 (2015)",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "A Simple Derivation of Schroedinger Uncertainty Relation",
"url": "https://arxiv.org/abs/physics/0510275"
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