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First principle calculations of quantum chaos and its self-organisation in the framework of ID model of random quantum reactive harmonic oscillator

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High-Performance Computing and Networking (HPCN-Europe 1998)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1401))

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Abstract

The difference between regular and chaotic behavior of quantum systems is evaluated on the example of quantum 1D oscillator. For the computation of the evolution of such a system closed form functional integral representation is constructed. Due to the positive measure of this representation and existence of group property for the evolution operator it is possible to realize absolutely parallel algorithm for its computation. The analysis of the results makes it possible to investigate chaos and self-organization in quantum systems.

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References

  1. Gutzwiller, M.C.: Chaos in Classical and Quantum Mechanics. Springer, Berlin, 1990.

    Google Scholar 

  2. Marston, C.C.: J. Chem. Phys., 1995, v.103, N.19, p.8456.

    Google Scholar 

  3. Tiyapan, A., Jaffe, Ch.: J. Chem. Phys., 1994, v.101, N.12, p.10393–10403.

    Google Scholar 

  4. Bogdanov, AN., Gevorkyan A.S.: Reactive Scattering in the Three-Body System as Imagining Point Quantum Dynamics on 2-D Manyfolds. Proceedings of the International Workshop on Quantum Systems. Minsk, Belarus, 1996.

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  5. Bogdanov, AN., Gevorkyan A.S.: Random Motion of Quantum Reactive Harmonic Oscillator. Thermodynamics of Vacuum. Preprint IHPCDB-3(97, p.3–20.

    Google Scholar 

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Authors and Affiliations

  1. Institute for High-Performance Computing and Data Bases, P/O Box 71, 194291, St-Petersburg, Russia

    Alexander Bogdanov, Ashot Gevorkyan & Armen Grigoryan

Authors
  1. Alexander Bogdanov
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  2. Ashot Gevorkyan
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  3. Armen Grigoryan
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Editor information

Peter Sloot Marian Bubak Bob Hertzberger

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© 1998 Springer-Verlag Berlin Heidelberg

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Bogdanov, A., Gevorkyan, A., Grigoryan, A. (1998). First principle calculations of quantum chaos and its self-organisation in the framework of ID model of random quantum reactive harmonic oscillator. In: Sloot, P., Bubak, M., Hertzberger, B. (eds) High-Performance Computing and Networking. HPCN-Europe 1998. Lecture Notes in Computer Science, vol 1401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0037233

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  • DOI: https://doi.org/10.1007/BFb0037233

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64443-9

  • Online ISBN: 978-3-540-69783-1

  • eBook Packages: Springer Book Archive

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