### 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 |
---|---|

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 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Library and Information Sciences

### Cite this

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

**ANALYTIC CONTROLLABILITY OF QUANTUM-MECHANICAL SYSTEMS.** / Tarn, T. J.; Washington Univ, St Louis; Clark, John W.; Huang, Garng Morton.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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

}

TY - GEN

T1 - ANALYTIC CONTROLLABILITY OF QUANTUM-MECHANICAL SYSTEMS.

AU - Tarn, T. J.

AU - Washington Univ, St Louis

AU - Clark, John W.

AU - Huang, Garng Morton

PY - 1984/12/1

Y1 - 1984/12/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0021609026&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0021609026&partnerID=8YFLogxK

M3 - Conference contribution

SN - 354013168X

SP - 840

EP - 855

BT - Lecture Notes in Control and Information Sciences

PB - Springer Verlag

ER -