𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Splitting methods for the time-dependent Schrödinger equation

✍ Scribed by S. Blanes; P.C. Moan


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
135 KB
Volume
265
Category
Article
ISSN
0375-9601

No coin nor oath required. For personal study only.

✦ Synopsis


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 properties of the exact solution.


📜 SIMILAR VOLUMES


Optimal stability polynomials for splitt
✍ Robert I. McLachlan; Stephen K. Gray 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 643 KB

We determine optimal stability polynomials p(x) for splitting method solutions of differential equations, building on previous work by L6pez-Marcos, Sanz-Sema and Skeel (1996). The methods have a variety of stage numbers and are up to eighth order. Knowledge of p(x) allows construction of the most s

The time-dependent Schrödinger equation
✍ A.D. Gorman 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 268 KB

The Lagrange Manifold (WKB) formalism enables the determination of the asymptotic series solution of linear hyperbolic and parabolic differential equations at turning points. Here this formalism is applied to determine the asymptotic solution of the time-dependent SchrSdinger equation at turning poi