Strong analytic controllability for hydrogen control systems
Chunhua Lan, Tzyh‐Jong Tarn, Quo-Shin Chi, J. W. Clark · 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601) · 2004
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.