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Symbolic algorithm for factorization of the evolution operator of the time-dependent Schrödinger equation

✍ Scribed by S. I. Vinitsky; V. P. Gerdt; A. A. Gusev; M. S. Kaschiev; V. A. Rostovtsev; V. N. Samoylov; T. V. Tupikova; Y. Uwano


Book ID
110190820
Publisher
SP MAIK Nauka/Interperiodica
Year
2006
Tongue
English
Weight
260 KB
Volume
32
Category
Article
ISSN
0361-7688

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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