ANALYTIC CONTROLLABILITY OF QUANTUM-MECHANICAL SYSTEMS. Conference Paper

abstract

• The concept of controllability is adapted to quantum-mechanical systems, sufficient conditions being sought under which the state vector psi can be guided in time to a chosen point in Hilbert space. The Schroedinger equation for a quantum object influenced by adjustable external fields provides a state-evolution equation which is linear in psi and linear in the external controls (thus a bilinear control system). For such systems the existence of an analytic domain in the sense of Nelson permits the adaptation of the geometric approach developed for finite-dimensional bilinear and nonlinear control systems; thereupon incisive conditions for global controllability are derived.

authors

• Huang, Garng

published proceedings

• Lecture Notes in Control and Information Sciences

author list (cited authors)

• Tarn, T. J., Washington Univ, S. L., Clark, J. W., & Huang, G. M.

complete list of authors

• Tarn, TJ||Washington Univ, SL||Clark, JW||Huang, GM

publication date

• December 1984

published in

• Lecture Notes in Control and Information Sciences  Journal

International Standard Book Number (ISBN) 10

• 354013168X

start page

• 840

end page

• 855