### 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 language | English |
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Title of host publication | Lecture Notes in Control and Information Sciences |

Publisher | Springer Verlag |

Pages | 840-855 |

Number of pages | 16 |

ISBN (Print) | 354013168X |

Publication status | Published - 1 Dec 1984 |

### Publication series

Name | Lecture Notes in Control and Information Sciences |
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ISSN (Print) | 0170-8643 |

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### ASJC Scopus subject areas

- Library and Information Sciences

### Cite this

*Lecture Notes in Control and Information Sciences*(pp. 840-855). (Lecture Notes in Control and Information Sciences). Springer Verlag.