Title :
Strong analytic controllability for hydrogen control systems
Author :
Lan, Chunhua ; Tarn, Tzyh-Jong ; Chi, Quo-Shin ; Clark, John W.
Author_Institution :
Dept. of Electr. & Syst. Eng., Washington Univ., St. Louis, MO, USA
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 :
controllability; hydrogen neutral atoms; quantum theory; hydrogen atom Hamiltonian; hydrogen control systems; strong analytic controllability; time-dependent strong analytic controllability theorem; Control system analysis; Control systems; Controllability; Electromagnetic scattering; Hydrogen; Particle scattering; Quantum computing; Quantum mechanics; State-space methods; Systems engineering and theory;
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Print_ISBN :
0-7803-8682-5
DOI :
10.1109/CDC.2004.1429551