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Information × Registration Number 2118U003254, Article popup.category Thesis Title popup.author popup.publication 01-01-2018 popup.source_user Сумський державний університет popup.source http://essuir.sumdu.edu.ua/handle/123456789/67953 popup.publisher Sumy State University Description 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. popup.nrat_date 2025-05-12 Close
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: published. 2018-01-01; Сумський державний університет, 2118U003254
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Updated: 2026-03-23