The coupled-channel method for modelling quantum transmission of composite systems

The description of quantum transmission of composite systems of barriers or wells using the coupled-channel method is presented. In this approach the multichannel scattering problem for the Schrödinger equation is reduced to a set of coupled second-order ordinary differential equations with the boundary conditions of the third type and solved using the finite element method. The efficiency of the proposed approach is demonstrated by the example of analyzing metastable states that appear in composite quantum systems tunnelling through barriers and wells and give rise to the quantum transparency and total reflection effects. © Springer International Publishing AG 2016.

Authors
Vinitsky S.I. 1, 2 , Gusev A.A.1 , Chuluunbaatar O.1, 5 , Góźdź A.3 , Derbov V.L.4
Journal
Communications in Computer and Information Science
Publisher
Springer Verlag
Language
English
Pages
525-537
Status
Published
DOI
10.1007/978-3-319-51917-3_45
Volume
678
Year
2016
Organizations
  • 1 Joint Institute for Nuclear Research, Dubna, Russian Federation
  • 2 RUDN University (Peoples’ Friendship University of Russia), 6 Miklukho-Maklaya Street, Moscow, 117198, Russian Federation
  • 3 Institute of Physics, University of Maria Curie-Sklodowska, Lublin, Poland
  • 4 Saratov State University, Saratov, Russian Federation
  • 5 Institue of Mathematics, National University of Mongolia, University Street, Sukhbaatar District, Ulaanbaatar, Mongolia
Keywords
Coupled-channel method; Finite element method software; Quantum tunneling; Second-order ordinary differential equations
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/4423/
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