Numerical Solution of the Time Dependent 3D Schrödinger Equation Describing Tunneling of Atoms from Anharmonic Traps

We present an efficient numerical method for the integration of the 3D Schrödinger equation. A tunneling problem of two interacting bosonic atoms confined in a 1D anharmonic trap has been successfully solved by means of this method. We demonstrate fast convergence of the final results with respect to spatial and temporal grid steps. The computational scheme is based on the operator-splitting technique with the implicit Crank-Nicolson algorithm on spatial sixth-order finite-differences. The computational time is proportional to the number of spatial grid points. © 2018 The Authors, published by EDP Sciences.

Authors
Ishmukhamedov I.1, 2, 3 , Ishmukhamedov A.2, 4 , Melezhik V. 1, 5
Conference proceedings
EPJ Web of Conferences
Publisher
EDP Sciences
Language
English
Status
Published
DOI
10.1051/epjconf/201817303011
Number
03011
Volume
173
Year
2018
Organizations
  • 1 Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow Region, 141980, Russian Federation
  • 2 Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
  • 3 Institute of Nuclear Physics, Ministry of Energy of the Republic of Kazakhstan, Almaty, 050032, Kazakhstan
  • 4 K.I. Satpaev Institute of Geological Sciences, Almaty, 050010, Kazakhstan
  • 5 Peoples' Friendship University of Russia, RUDN University, 6 Miklukho-Maklaya St., Moscow, 117198, Russian Federation
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/6857/
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