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Asymptotic properties of solutions to discrete Coulomb equations

✍ Scribed by R.E. Mickens

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
266 KB
Volume
36
Category
Article
ISSN
0898-1221

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✦ Synopsis

AbstractwWe construct two finite-difference models for the Coulomb differential equation which arises in the quantum mechanics analysis of the scattering of two charged point particles. These difference equations correspond to the standard and Mickens-Ramadhani schemes for the Coulomb equation. Our major goal is to determine the first two terms in the asymptotic solutions and compare them to the corresponding solutions of the Coulomb differential equation. In particular, the form of the anomalous phase term is examined. ~

📜 SIMILAR VOLUMES

Asymptotic regularity of solutions to Ha
Asymptotic regularity of solutions to Hartree–Fock equations with Coulomb potential
✍ Heinz-Jürgen Flad; Reinhold Schneider; Bert-Wolfgang Schulze 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 273 KB

## Abstract We study the asymptotic regularity of solutions to Hartree–Fock (HF) equations for Coulomb systems. To deal with singular Coulomb potentials, Fock operators are discussed within the calculus of pseudo‐differential operators on conical manifolds. First, the non‐self‐consistent‐field case