The Conditions of Stability of Two-Dimensional Quantum Systems of Three Charged Particles

  • I. V. Simenog Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine
  • V. V. Mikhnyuk Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine
  • M. V. Kuzmenko Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine
Keywords: three charged particles, two-dimensional systems, stability, variational method, structural functions

Abstract

For a two-dimensional Coulomb system of three charged particles, among which two particles are identical and the third particle is of different nature, we study the conditions of existence for symmetric and antisymmetric bound energy states (conditions of stability) in the mass–charge (m;Z) plane. High-precision three-body numerical calculations based on a stochastic variational method with Gaussian bases are performed. Several anomalous effects in the behavior of the characteristic distances between particles are revealed, and the nonzero quadrupole moment is found in a two-dimensional polar-symmetric field. The systematic comparison of the results for two- and three-dimensional systems is performed. The values of energy and size, the density distributions, and the correlation functions for the various reference three-particle systems are obtained.

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Published
2018-10-06
How to Cite
Simenog, I., Mikhnyuk, V., & Kuzmenko, M. (2018). The Conditions of Stability of Two-Dimensional Quantum Systems of Three Charged Particles. Ukrainian Journal of Physics, 58(3), 289. https://doi.org/10.15407/ujpe58.03.0289
Section
General problems of theoretical physics