Coherent states for quadratic Hamiltonians
Quantum Physics
2011-09-16 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The coherent states for a set of quadratic Hamiltonians in the trap regime are constructed. A matrix technique which allows to identify directly the creation and annihilation operators will be presented. Then, the coherent states as simultaneous eigenstates of the annihilation operators will be derived, and they are going to be compared with those attained through the displacement operator method. The corresponding wave function will be found, and a general procedure for obtaining several expected values involving the canonical operators in these states will be described. The results will be illustrated through the asymmetric Penning trap.
Keywords
Cite
@article{arxiv.1009.2564,
title = {Coherent states for quadratic Hamiltonians},
author = {Alonso Contreras-Astorga and David J Fernandez C and Mercedes Velazquez},
journal= {arXiv preprint arXiv:1009.2564},
year = {2011}
}
Comments
19 pages, 1 figure, small changes. Accepted for publication in J. Phys. A: Math. Theor