State Extended Uncertainty Relations
Quantum Physics
2009-11-06 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
A scheme for construction of uncertainty relations (UR) for n observables and m states is presented. Several lowest order UR are displayed and briefly discussed. For two states |\psi> and |\phi> and canonical observables the (entangled) extension of Heisenberg UR reads [\Delta p(\psi)]^2[\Delta q(\phi)]^2 + [\Delta p(\phi)]^2[\Delta q(\psi)]^2 \geq 1/2. Some possible applications of the new inequalities are noted.
Keywords
Cite
@article{arxiv.quant-ph/0005086,
title = {State Extended Uncertainty Relations},
author = {D. A. Trifonov},
journal= {arXiv preprint arXiv:quant-ph/0005086},
year = {2009}
}
Comments
LaTex, 6 pages 15x23cm text, No figures