Quantum Transparency of Barriers and Reflection from Wells for Clusters of Identical Particles

A method for solving the problem of quantum transmission through potential barriers or potential wells for a compound system consisting of several identical particles coupled via pair oscillator-type potentials in the oscillator representation of the symmetrized coordinates is considered. The efficiency of the proposed approach, algorithms and programs is demonstrated by the examples of calculation of complex energy values and analysis of metastable states of compound systems of two, three, and four identical particles on a straight line, which lead to the effect of quantum transparency of the potential barriers or quantum reflection from the wells. © 2018, Allerton Press, Inc.

Authors
Chuluunbaatar O. 1, 2 , Vinitsky S.I. 1, 3 , Gusev A.A.1 , Derbov V.L.4 , Krassovitskiy P.M.1, 5
Journal
Bulletin of the Russian Academy of Sciences: Physics
Number of issue
6
Language
English
Pages
648-653
Status
Published
Link
External link
DOI
10.3103/S1062873818060084
Volume
82
Year
2018
Organizations
  • 1 Joint Institute for Nuclear Research, Dubna, 141980, Russian Federation
  • 2 National University of Mongolia, Ulan-Bator, 210646, Mongolia
  • 3 RUDN University, Moscow, 117198, Russian Federation
  • 4 Saratov State University, Saratov, 410012, Russian Federation
  • 5 Institute of Nuclear Physics, Almaty, 050032, Kazakhstan
Keywords
Transparency; Complex energy; Compound system; Identical particles; Meta-stable state; Potential barriers; Potential wells; Quantum reflection; Quantum transmission; Quantum theory
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/6639/
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