Technical Physics

, Volume 55, Issue 5, pp 613–621 | Cite as

Correlated states of interacting particles and problems of the Coulomb barrier transparency at low energies in nonstationary systems

  • V. I. Vysotskii
  • S. V. Adamenko
Theoretical and Mathematical Physics

Abstract

Premises for the formation of a correlated coherent state of particles in nonstationary quantum systems are considered. The relation between the correlation factor of particles and the probability of their passage through the potential barrier (including that in nuclear reactions) is analyzed. The optimal regime for parametric excitation of a harmonic oscillator is found, in which the asymptotic formation of the correlated state of particles takes place, the dispersion of their coordinates increases manifold, and the barrier transparency becomes many orders of magnitude higher at a low energy of interacting particles.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    V. V. Dodonov and V. I. Man’ko, Tr. Fiz. Inst. Akad. Nauk SSSR 183, 71 (1988).MathSciNetGoogle Scholar
  2. 2.
    V. V. Dodonov, A. V. Klimov, and V. I. Man’ko, Tr. Fiz. Inst. Akad. Nauk SSSR 200, 56 (1991).MathSciNetGoogle Scholar
  3. 3.
    E. Schrödinger, Ber. Kgl. Akad. Wiss. Berlin 24, 296 (1930).Google Scholar
  4. 4.
    H. P. Robertson, Phys. Rev. A 35, 667 (1930).Google Scholar
  5. 5.
    V. I. Vysotskii, Quantum Mechanics and Its Applications in Applied Physics: A Textbook (KNUSh, Kiev, 2009) [in Russian].Google Scholar
  6. 6.
    Controlled Nucleosynthesis: Breakthroughs in Experiment and Theory, Ed. by S. V. Adamenko, F. Selleri, and A. van der Merwe (Springer, London, 2007).Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  • V. I. Vysotskii
    • 1
    • 2
  • S. V. Adamenko
    • 2
  1. 1.Shevchenko National UniversityKievUkraine
  2. 2.Electrodynamic Laboratory “Proton-21,”KievUkraine

Personalised recommendations