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A nonlinear nonstandard finite difference scheme for the linear time-dependent Schrödinger equation

✍ Scribed by Mickens, Ronald E.

Book ID
120354199
Publisher
Taylor and Francis Group
Year
2006
Tongue
English
Weight
113 KB
Volume
12
Category
Article
ISSN
1023-6198

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Novel explicit finite-difference schemes
Novel explicit finite-difference schemes for time-dependent Schrödinger equations
✍ Ronald E. Mickens 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 425 KB

We present several new finite-difference schemes that can be used to numerically integrate the time-dependent Schrodinger equation. These schemes are explicit and use an Euler-type expression for the discrete time derivative. However, the second-order space derivative is modeled by a novel form not