danДоклады Национальной академии наук БеларусиDoklady of the National Academy of Sciences of Belarus1561-83232524-2431The Republican Unitary Enterprise Publishing House "Belaruskaya Navuka"dan-370Research ArticleФИЗИКАPHYSICSТУННЕЛИРОВАНИЕ ЧЕРЕЗ ГЛАДКИЙ ПАРАБОЛИЧЕСКИЙ БАРЬЕР КОНЕЧНОЙ ВЫСОТЫTUNNELING THROUGH A SMOOTH PARABOLIC BARRIER OF FINITE HEIGHTКудряшовВ. В.KudryashovV. V.

канд. физ.-мат. наук, заместитель заведующего лабораторией

Ph. D. (Physics and Mathematics), Deputy Head of the Laboratory

kudryash@dragon.bas-net.byБаранА. В.BaranA. V.

канд. физ.-мат. наук, научный сотрудник

Ph. D. (Physics and Mathematics), Researcher

a.baran@dragon.bas-net.byИнститут физики им. Б. И. Степанова НАН БеларусиB. I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus2016060120176064347Copyright © Кудряшов В.В., Баран А.В., 20172017Кудряшов В.В., Баран А.В.Kudryashov V.V., Baran A.V.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://doklady.belnauka.by/jour/article/view/370

Гладкий барьер конечной высоты и варьируемой формы построен с помощью соединения центрального перевернутого параболического потенциала и двух боковых параболических потенциалов. Задача о туннелировании через этот барьер решена точно. Представлена зависимость коэффициента прохождения от энергии. Показаны реальные и мнимые составляющие волновых функций.

The smooth barrier of finite height and variable shape is constructed by means of joining the central inverted parabolic potential and two side parabolic potentials. The problem of tunneling through this barrier is solved exactly. The dependence of the transmission coefficient on energy is presented. The real and imaginary components of wave functions are shown.

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The authors declare that there are no conflicts of interest present.