Heisenberg position-momentum uncertainty relation beyond central potentials
Quantum Physics
2015-06-03 v2
Abstract
Recently it was shown in [New J. Phys. 8, 330 (2006)] that the three dimensional Heisenberg uncertainty principle might be signifficantly sharpened if the relevant quantum state describes the particle in a central potential. I extend that result to the case of states which are not the eigenstates of the square of the angular momentum operator. I derive a new lower bound which involves the mean value and the variance of the operator.
Cite
@article{arxiv.1112.5198,
title = {Heisenberg position-momentum uncertainty relation beyond central potentials},
author = {Łukasz Rudnicki},
journal= {arXiv preprint arXiv:1112.5198},
year = {2015}
}