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Large time WKB approximation for multi-dimensional semiclassical Schrödinger–Poisson system

✍ Scribed by Satoshi Masaki

Book ID
113699171
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
381 KB
Volume
251
Category
Article
ISSN
0022-0396

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On Time-Splitting Spectral Approximation
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✍ Weizhu Bao; Shi Jin; Peter A. Markowich 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 942 KB

In this paper we study time-splitting spectral approximations for the linear Schrödinger equation in the semiclassical regime, where the Planck constant ε is small. In this regime, the equation propagates oscillations with a wavelength of O(ε), and finite difference approximations require the spatia