3 papers
math-ph2015
Symplectic transformations of a beam matrix with real Pauli and Dirac matrices
Herbert E. Müller
A basic problem in linear particle optics is to find a symplectic transformation that brings the (symmetric) beam matrix to a special diagonal form, called normal form. The convent…
quant-ph2013
A description of the Thomas-Fermi ion with fast converging function series
Herbert E. Müller
This article concerns the description of the electron sea of an atomic ion with the Thomas-Fermi model. The normalized ion radius , ionization potential and electronic bindi…
quant-ph2013
Two approximate screening functions for the neutral Thomas-Fermi atom
Herbert E. Müller
In the Thomas-Fermi model for the atom or ion, the electric potential and electron density are both expressed in terms of a screening number and the radius . The sec…