NON-HAMILTONIAN QUANTUM MECHANICS AND THE NUMERICAL RESEARCHES OF THE ATTRACTOR OF A DYNAMICAL SYSTEM

Authors

  • A.J. Weissblut Kherson State University, Kherson

DOI:

https://doi.org/10.14308/ite000303

Keywords:

Dynamical, systems, quantum, structural, theory, algorithm, attractor

Abstract

     This article – introduction to the structural theory of general view dynamical systems, based on construction of dynamic quantum models (DQM), offered by the author. This model is simply connected with traditional model of quantum mechanics (i.e. with the Schrodinger equation). At the same time obtained thus non – Hamiltonian quantum dynamics is easier than classical one: it allow building the clear structural theory and effective algorithms of research for concrete systems. This article is devoted mainly to such task. The algorithm of search for DQM attractors, based on this approach, is offered here.

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References

<uk>
1. Meiss J.D. (2007) Differential Dynamical Systems. Philadelphia, SIAM
2. Beйцблит А. И. (2009) О негамильтоновой квантовой динамике. Вестник Херс. нац. техн. ун-та. Вип. 2(35) – С. 131 –135
3. Tesse E. (2011) Principals of Dynamic Systems and the Foundations of Quantum Physics. arXiv
</uk>
<en>
1. Meiss J.D. (2007) Differential Dynamical Systems. Philadelphia, SIAM
2. Bejcblit A. I. (2009) O negamil'tonovoj kvantovoj dinamike. Vestnik Xers. nac. texn. un-ta. Vip. 2(35) – S. 131 –135
3. Tesse E. (2011) Principals of Dynamic Systems and the Foundations of Quantum Physics. arXiv
</en>

Published

30.05.2012

How to Cite

Weissblut, A. (2012). NON-HAMILTONIAN QUANTUM MECHANICS AND THE NUMERICAL RESEARCHES OF THE ATTRACTOR OF A DYNAMICAL SYSTEM. Journal of Information Technologies in Education (ITE), (11), 073–077. https://doi.org/10.14308/ite000303