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
Gutzwiller, M.C.: Chaos in Classical and Quantum Mechanics. Springer, Berlin, 1990.
Marston, C.C.: J. Chem. Phys., 1995, v.103, N.19, p.8456.
Tiyapan, A., Jaffe, Ch.: J. Chem. Phys., 1994, v.101, N.12, p.10393–10403.
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.
Bogdanov, AN., Gevorkyan A.S.: Random Motion of Quantum Reactive Harmonic Oscillator. Thermodynamics of Vacuum. Preprint IHPCDB-3(97, p.3–20.
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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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