1 citations · 1 across the 4 of their papers we have counts for
4 papers
On interpretation of complex numbers
Alexander I. Zhbanov
We suggest new types and interpretation of complex and hypercomplex numbers for which the commutative, associative, and distributive laws and the norm axioms are trivially satisfie…
Uniform curves for van der Waals interaction between single-wall carbon nanotubes
Evgeny G. Pogorelov, Alexander I. Zhbanov, Yia-Chung Chang
We report very simple and accurate algebraic expressions for the van der Waals (vdW) potentials and the forces between two parallel and crossed carbon nanotubes. The Lennard-Jones…
Van der Waals interaction between two crossed carbon nanotubes
Alexander I. Zhbanov, Evgeny G. Pogorelov, Yia-Chung Chang
The analytical expressions for the van der Waals potential energy and force between two crossed carbon nanotubes are presented. The Lennard-Jones potential for two carbon atoms and…
Field enhancement factor and field emission from a hemi-ellipsoidal metallic needle
Evgeny G. Pogorelov, Alexander I. Zhbanov, Yia-Chung Chang
We present an exact solution for the electrostatic field between a metallic hemi-ellipsoidal needle on a plate (as a cathode) and a flat anode. The basic idea is to replace the cat…