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Bifurcations in the trajectory problem as a cause of internal-time singularities and the onset of quantum (wave)chaos

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Abstract

A new theory is proposed for quantum-mechanical multichannel scattering in a collinear three-body system. This simple problem is used to show that the principle of quantum determinism is generally violated and we are dealing with microirreversible quantum mechanics. Fundamental calculations of quantum (wave) chaos are presented for the first time for the elementary reaction Li+(FH)→(LiFH)*→LiF+H.

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Authors and Affiliations

  1. Institute for High-Performance Computing and Databases, St. Petersburg

    A. V. Bogdanov, A. S. Gevorkyan & A. G. Grigoryan

Authors
  1. A. V. Bogdanov
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  2. A. S. Gevorkyan
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  3. A. G. Grigoryan
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Additional information

Pis’ma Zh. Tekh. Fiz. 25, 12–22 (August 26, 1999)

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Bogdanov, A.V., Gevorkyan, A.S. & Grigoryan, A.G. Bifurcations in the trajectory problem as a cause of internal-time singularities and the onset of quantum (wave)chaos. Tech. Phys. Lett. 25, 637–641 (1999). https://doi.org/10.1134/1.1262582

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  • DOI: https://doi.org/10.1134/1.1262582

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