ANALYTIC CONTROLLABILITY OF QUANTUM-MECHANICAL SYSTEMS.

T. J. Tarn, St Louis Washington Univ, John W. Clark, Garng M. Huang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

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.

Original languageEnglish
Title of host publicationLecture Notes in Control and Information Sciences
PublisherSpringer Verlag
Pages840-855
Number of pages16
ISBN (Print)354013168X
Publication statusPublished - 1 Dec 1984

Publication series

NameLecture Notes in Control and Information Sciences
ISSN (Print)0170-8643

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ASJC Scopus subject areas

  • Library and Information Sciences

Cite this

Tarn, T. J., Washington Univ, S. L., Clark, J. W., & Huang, G. M. (1984). ANALYTIC CONTROLLABILITY OF QUANTUM-MECHANICAL SYSTEMS. In Lecture Notes in Control and Information Sciences (pp. 840-855). (Lecture Notes in Control and Information Sciences). Springer Verlag.