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Error Analysis of Splitting Methods for the Time Dependent Schrödinger Equation

✍ Scribed by Blanes, Sergio; Casas, Fernando; Murua, Ander


Book ID
118188053
Publisher
Society for Industrial and Applied Mathematics
Year
2011
Tongue
English
Weight
639 KB
Volume
33
Category
Article
ISSN
1064-8275

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Splitting methods for the time-dependent
✍ S. Blanes; P.C. Moan 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 135 KB

Cheap and easy to implement fourth-order methods for the Schrodinger equation with time-dependent Hamiltonians are ïntroduced. The methods require evaluations of exponentials of simple unidimensional integrals, and can be considered an averaging technique, preserving many of the qualitative propert