ANALYTIC CONTROLLABILITY OF QUANTUM-MECHANICAL SYSTEMS. Conference Paper uri icon

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.

author list (cited authors)

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

publication date

  • December 1984