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Journal of Automation and Information Sciences

Published 12 issues per year

ISSN Print: 1064-2315

ISSN Online: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

Simulation of Quantum Control Systems. Part I. System Analysis of Physical Constraints

Volume 30, Issue 2-3, 1998, pp. 33-38
DOI: 10.1615/JAutomatInfScien.v30.i2-3.50
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ABSTRACT

The paper develops an algebraic approach to the study of quantum control systems that is based on bilinear dynamical models defined on orbits of the adjoint representation of a compact Lie group. A mathematically correct model is constructed for the physical statement of the problem; the limits of its physical correctness are found.

REFERENCES
  1. Butkovskii, A. G. and Samoilenko, Yu. I., Upravlenie kvantovo-mekhanicheskimi protsessami (Control of Quantum Mechanical Processes).

  2. Brockett, R. W., Lie Algebras and Lie Groups in Control Theory. In: Geometric Methods in Control Theory.

  3. Andreev, Yu. N., Differential-Geometrical Methods in Control Theory (a survey).

  4. Samoilenko, Yu. I., Smirnov, S. A., and Khorozov, O. A., Algebraic Methods for Optimization of Terminal Functionals of Quantum Mechanical Systems.

  5. Mackey G., Lektsiipo matematicheskim osnovam kvantovoi mekhaniki (Lectures on Mathematical Foundation of Quantum Mechanics).

  6. Akulin, V. M. and Karlov, N. V., Intensivnye resonansnye vzaimodeistviya v kvantovoi elektronike (Intensive Resonance Interaction in the Quantum Electronics).

  7. Klyshko, D. N., Fizicheskie osnovy kvantovoi elektroniki (Physical Foundations of Quantum Electronics).

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