Inverse control of quantum-mechanical systems: Some application studies

Garng Morton Huang, Peter Gross, Harjinder Singh, Herschel Rabitz, Kenneth Mease

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

1 Citation (Scopus)

Abstract

We apply our invertibility of quantum mechanical systems concept to design open loop controls of molecular systems. The inverse quantum-mechanical control of molecules is studied using the equation of motion for the expectation value of an operator. With this method a requisite external field is obtained to exactly track a prescribed molecular objective expectation value as a function of time. Applications to diatomic molecules are formulated. While the method is directly applicable as a test of physical intuition, it can in principle be used to design fields for specific objectives including reactive selectivity. Results are presented for energy tracking in the hydrogen fluoride molecular system. The numerical calculations show that seemingly benign objective tracks may give rise to singularities in the field. However, these singularities do not present problems in the evolution of the dynamical quantities and instead provide useful hints for designing robust fields.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherPubl by IEEE
Pages1930-1935
Number of pages6
Volume2
ISBN (Print)0780312988
Publication statusPublished - 1 Dec 1993
Externally publishedYes
EventProceedings of the 32nd IEEE Conference on Decision and Control. Part 2 (of 4) - San Antonio, TX, USA
Duration: 15 Dec 199317 Dec 1993

Other

OtherProceedings of the 32nd IEEE Conference on Decision and Control. Part 2 (of 4)
CitySan Antonio, TX, USA
Period15/12/9317/12/93

Fingerprint

Mechanical Systems
Quantum Systems
Molecules
Singularity
Equations of motion
Open-loop Control
Invertibility
Selectivity
Numerical Calculation
Hydrogen
External Field
Equations of Motion
Operator
Energy
Design
Concepts

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

Cite this

Huang, G. M., Gross, P., Singh, H., Rabitz, H., & Mease, K. (1993). Inverse control of quantum-mechanical systems: Some application studies. In Proceedings of the IEEE Conference on Decision and Control (Vol. 2, pp. 1930-1935). Publ by IEEE.

Inverse control of quantum-mechanical systems : Some application studies. / Huang, Garng Morton; Gross, Peter; Singh, Harjinder; Rabitz, Herschel; Mease, Kenneth.

Proceedings of the IEEE Conference on Decision and Control. Vol. 2 Publ by IEEE, 1993. p. 1930-1935.

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

Huang, GM, Gross, P, Singh, H, Rabitz, H & Mease, K 1993, Inverse control of quantum-mechanical systems: Some application studies. in Proceedings of the IEEE Conference on Decision and Control. vol. 2, Publ by IEEE, pp. 1930-1935, Proceedings of the 32nd IEEE Conference on Decision and Control. Part 2 (of 4), San Antonio, TX, USA, 15/12/93.
Huang GM, Gross P, Singh H, Rabitz H, Mease K. Inverse control of quantum-mechanical systems: Some application studies. In Proceedings of the IEEE Conference on Decision and Control. Vol. 2. Publ by IEEE. 1993. p. 1930-1935
Huang, Garng Morton ; Gross, Peter ; Singh, Harjinder ; Rabitz, Herschel ; Mease, Kenneth. / Inverse control of quantum-mechanical systems : Some application studies. Proceedings of the IEEE Conference on Decision and Control. Vol. 2 Publ by IEEE, 1993. pp. 1930-1935
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