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.

Авторы
Ishmukhamedov I.1, 2, 3 , Ishmukhamedov A.2, 4 , Melezhik V. 1, 5
Редакторы
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Сборник материалов конференции
Издательство
EDP Sciences
Номер выпуска
-
Язык
Английский
Страницы
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Статус
Опубликовано
Подразделение
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Ссылка
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Номер
03011
Том
173
Год
2018
Организации
  • 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
Ключевые слова
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Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/6857/