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The Method of Seeking Finite Control for Quantum Mechanical Processes

  • Anatoliy G. Butkovskiy
  • Ye. I. Pustil’nykova
Conference paper
Part of the International Centre for Mechanical Sciences book series (CISM, volume 294)

Abstract

A new method for solving of controllability and finite control problems in quantum processes is presented. This method uses finite integral transformations and theory of finite control.

Keywords

Cauchy Problem Finish State Interpolation Problem Moment Problem Moment Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Butkovskiy A. G., Samoilenko Yu. I. Control of the Quantum-Mechanical Processes. M.: Nauka, 1984.Google Scholar
  2. 2.
    Light Scattering in Solids (Ed. M. Cardona). Springer-Verlag Berlin-Heidelberg-New York, 1975.Google Scholar
  3. 3.
    Slichter C.P. Principles of Magnetic Resonance (Ed. P. Fulde) Springer-Verlag Berlin-Heidelberg-New York, 1980.Google Scholar
  4. 4.
    Ong C.K., Huang G.M., Tarn T.J., Clark J.W. Invertibility of Quantum-Mechanical Control Systems. Mathematical Systems Theory, 17, 355–350, 1984.CrossRefMathSciNetGoogle Scholar
  5. 5.
    Huang G.M., Tarn T.J., Clark J.W. On the Controllability of Quantum-Mechanical Systems. Journal of Mathematical Physics, 24, 1983.Google Scholar
  6. 6.
    Malkin I.A., Man’ko V.I. Dynamic Symmetries and Coherent Stats of Quantum Systems. M.: Nauka, 1979.Google Scholar
  7. 7.
    Burkovskiy A.G. Structural Theory of Distributed Systems. M.: Science, 1977. (Ellis Horwood, England, 1983).Google Scholar
  8. 8.
    Butkovskiy A. G., Pustyl’nikov L.M. Theory of Mobile Control of Systems with Distributed Parameters. M.: Nauka, 1980.Google Scholar
  9. 9.
    Butkovskiy A.G. Methods of Control of Systems with Distributed Parameters, M.: Science, 1975.Google Scholar
  10. 10.
    Butkovskiy A.G., Pustyl’nikova Ye.I. Control of Coherent States of Quantum Systems with a Square Hamilto-nian. Automation and Telemechanics, No.8, 1984.Google Scholar
  11. 11.
    Blohintsev D.I. Principles of Quantum Mechanics, M.: Science, 1976.Google Scholar
  12. 12.
    Flugge Z. Problems of Quantum Mechanics, v.2, M.: World, 1974.Google Scholar

Copyright information

© Springer-Verlag Wien 1987

Authors and Affiliations

  • Anatoliy G. Butkovskiy
    • 1
  • Ye. I. Pustil’nykova
    • 1
  1. 1.Institute of Control SciencesMoscowU.S.S.R.

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