Strong Analytic Controllability for Hydrogen Control Systems
Quantum Physics
2007-05-23 v2
Abstract
The realization and representation of so(4,2) associated with the hydrogen atom Hamiltonian are derived. By choosing operators from the realization of so(4,2) as interacting Hamiltonians, a hydrogen atom control system is constructed, and it is proved that this control system is strongly analytically controllable based on a time-dependent strong analytic controllability theorem.
Keywords
Cite
@article{arxiv.quant-ph/0409146,
title = {Strong Analytic Controllability for Hydrogen Control Systems},
author = {Chunhua Lan and Tzyh-Jong Tarn and Quo-Shin Chi and John W. Clark},
journal= {arXiv preprint arXiv:quant-ph/0409146},
year = {2007}
}
Comments
6 pages; corrected typo; added equations in section III for representation states of so(4,2). accepted by CDC 2004