Suscripción a Biblioteca: Guest
Portal Digitalde Biblioteca Digital eLibros Revistas Referencias y Libros de Ponencias Colecciones
Journal of Automation and Information Sciences
SJR: 0.238 SNIP: 0.464 CiteScore™: 0.27

ISSN Imprimir: 1064-2315
ISSN En Línea: 2163-9337

Volumen 51, 2019 Volumen 50, 2018 Volumen 49, 2017 Volumen 48, 2016 Volumen 47, 2015 Volumen 46, 2014 Volumen 45, 2013 Volumen 44, 2012 Volumen 43, 2011 Volumen 42, 2010 Volumen 41, 2009 Volumen 40, 2008 Volumen 39, 2007 Volumen 38, 2006 Volumen 37, 2005 Volumen 36, 2004 Volumen 35, 2003 Volumen 34, 2002 Volumen 33, 2001 Volumen 32, 2000 Volumen 31, 1999 Volumen 30, 1998 Volumen 29, 1997 Volumen 28, 1996

Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v30.i2-3.50
pages 33-38

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

Sergey A. Smirnov
Institute of Physics and Technology of National Technical University of Ukraine "Kiev Polytechnic Institute", Kiev


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.


  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).

Articles with similar content:

The Problem of Identification by the Final Observation for the Multidimensional Nonlinear Stationary Equation of Quasi-optics with a Purely Imaginary Coefficient in the Nonlinear Part
Journal of Automation and Information Sciences, Vol.44, 2012, issue 7
Natik S. Ibrahimov
On Sufficient Solvability Conditions for One Class of Optimization Problems
Journal of Automation and Information Sciences, Vol.42, 2010, issue 5
Vladimir E. Kapustyan, Olga P. Kogut
On a Problem of Numerical Simulating the Derivative of Discrete Time Series with Approximate Values
Journal of Automation and Information Sciences, Vol.47, 2015, issue 12
Elena M. Kiseleva, Pavel A. Dovgay, Lyudmila L. Hart
On the Problem of Probability Evaluation for Dangerous Air Miss of Aircrafts: Conditions of Application and Reduction of Dimension of the Generalized Method
Journal of Automation and Information Sciences, Vol.39, 2007, issue 6
Alexander G. Kukush, Vladimir P. Kharchenko, Vladimir N. Vasilyev
On Determination of the Coefficient of Derivative in the Equation of a String Oscillations with Discontinuity
Journal of Automation and Information Sciences, Vol.51, 2019, issue 2
Zumrud Rasim kyzy Safarova