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Force balance equations in inhomogeneous classical and quantal liquids

✍ Scribed by A. Holas; N. H. March


Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
162 KB
Volume
64
Category
Article
ISSN
0020-7608

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✦ Synopsis


Inhomogeneous liquids in the presence of an external potential are considered. Exact Ž . force balance equations are written explicitly for a the classical case with pairwise Ž . interactions and b the ground-state quantal case of fermions with a general interaction, which embraces the Coulomb repulsion for electrons. Illustrative examples are given in Ž . Ž . Ž . Ž . both cases a and b . Finally, a link between a and b is forged by considering the case of ensembles of finite systems.


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Force-balance and differential equation
✍ C. Amovilli; N. H. March; T. Gál; Á. Nagy 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 165 KB 👁 2 views

## Holas and March (1995) established a force-balance equation from the many-electron Schrödinger equation. Here, we propose this as a basis for the construction of a (usually approximate) differential equation for the ground-state electron density. By way of example we present the simple case of