Please use this identifier to cite or link to this item: http://essuir.sumdu.edu.ua/handle/123456789/67953
Title: Energy Spectrum of a Particle in an Infinitely Deep Potential Well with a Non-flat Bottom
Authors: Денисов, Станіслав Іванович
Денисов, Станислав Иванович
Denysov, Stanislav Ivanovych
Husachenko, A.V.
Ryzhkov, O.S.
Keywords: наноструктури
наноструктуры
nanostructures
квантова поведінка
квантовое поведение
quantum behavior
Issue Year: 2018
Publisher: Sumy State University
Citation: Husachenko, A.V. Energy Spectrum of a Particle in an Infinitely Deep Potential Well with a Non-flat Bottom [Текст] / A.V. Husachenko, O.S. Ryzhkov, S.I. Denisov // Фізика, електроніка, електротехніка: матеріали та програма науково-технічної конференції, м. Суми, 5-9 лютого 2018 р. / Відп. за вип. С.І. Проценко. – Суми: СумДУ, 2018. – С. 28.
Abstract: To model the quantum behavior of current carriers in heterogeneous nanostructures, different potential wells and barriers are widely used. Of particular interest are those (including artificial ones) for which the corresponding Schrödinger equation can be solved exactly. One of them is an infinitely deep potential well with a flat bottom defined as 𝑈(𝑥) = ∞ for |𝑥| ≥ 𝑎 and 𝑈(𝑥) = 0 for |𝑥| < 𝑎. Here, we report on exact solution of the stationary Schrödinger equation in the case, when the potential bottom is non-flat, i.e., 𝑈(𝑥) = −𝑓𝑥 (𝑓 > 0) if |𝑥| < 𝑎. Physically, this means that the particle in the well is subjected to an external force 𝑓 in the 𝑥-direction.
URI: http://essuir.sumdu.edu.ua/handle/123456789/67953
Type: Theses
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