A Simple Derivation of Schroedinger Uncertainty Relation
Physics Education
2015-08-26 v2 Quantum Physics
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.
Cite
@article{arxiv.physics/0510275,
title = {A Simple Derivation of Schroedinger Uncertainty Relation},
author = {Gustavo Rigolin},
journal= {arXiv preprint arXiv:physics/0510275},
year = {2015}
}
Comments
1.5 pages, no figures, revtex4; v2: title slightly changed, published version