Coherent states approach to Penning trap
Quantum Physics
2009-02-04 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
By using a matrix technique, which allows to identify directly the ladder operators, the Penning trap coherent states are derived as eigenstates of the appropriate annihilation operators. These states are compared with the ones obtained through the displacement operator. The associated wave functions and mean values for some relevant operators in these states are also evaluated. It turns out that the Penning trap coherent states minimize the Heisenberg uncertainty relation.
Keywords
Cite
@article{arxiv.0809.1684,
title = {Coherent states approach to Penning trap},
author = {David J Fernandez C and Mercedes Velazquez},
journal= {arXiv preprint arXiv:0809.1684},
year = {2009}
}
Comments
10 pages, small changes, one reference added