Bethe logarithms for Ps—, H—, and heliumlike atoms

2000 ◽  
Vol 77 (11) ◽  
pp. 835-845 ◽  
Author(s):  
GWF Drake ◽  
S P Goldman
Keyword(s):  
Excitation Energy ◽  
Basis Set ◽  
Electron Systems ◽  
Finite Mass ◽  
Comparison With Experiment ◽  
Mean Excitation Energy ◽  
Wide Range ◽  
The Mean ◽  
Matrix Diagonalization ◽  
Single Matrix

A new method is presented for the calculation of the mean excitation energy (Bethe logarithm) for helium and other two-electron systems. The method requires only a single matrix diagonalization within a correlated Hylleraas basis set extended to contain a wide range of distance scales. High-precision results are obtained for the ground states of Ps—and H—, and all the S- and P-states of heliumlike ions up to n = 5, including finite mass corrections. The results are used to calculate revised values for the quantum electrodynamic shifts for helium, and a comparison with experiment is presented.PACS Nos.: 31.15Pf, 31.30Jv, and 32.10Hq

scholarly journals Deriving the mean excitation energy map from dual-energy and proton computed tomography

2018 ◽  
Vol 6 ◽  
pp. 20-24 ◽  
Author(s):  
Gloria Vilches-Freixas ◽  
Catherine Therese Quiñones ◽  
Jean Michel Létang ◽  
Simon Rit
Keyword(s):  
Computed Tomography ◽  
Excitation Energy ◽  
Dual Energy ◽  
Mean Excitation Energy ◽  
Proton Computed Tomography ◽  
The Mean

Determination of the mean excitation energy of water from proton beam ranges

2007 ◽  
Vol 42 (10) ◽  
pp. 1683-1691 ◽  
Author(s):  
Y. Kumazaki ◽  
T. Akagi ◽  
T. Yanou ◽  
D. Suga ◽  
Y. Hishikawa ◽  
...  
Keyword(s):  
Excitation Energy ◽  
Proton Beam ◽  
Mean Excitation Energy ◽  
The Mean

The Effect of Solvation on the Mean Excitation Energy of Glycine

2009 ◽  
Vol 1 (1) ◽  
pp. 242-245 ◽  
Author(s):  
Keęstutis Aidas ◽  
Jacob Kongsted ◽  
John R. Sabin ◽  
Jens Oddershede ◽  
Kurt V. Mikkelsen ◽  
...  
Keyword(s):  
Excitation Energy ◽  
Mean Excitation Energy ◽  
The Mean

The flat plate boundary layer. Part 1. Numerical integration of the Orr–-Sommerfeld equation

1970 ◽  
Vol 43 (4) ◽  
pp. 801-811 ◽  
Author(s):  
R. Jordinson
Keyword(s):  
Boundary Layer ◽  
Flat Plate ◽  
Plate Boundary ◽  
Mean Flow ◽  
Comparison With Experiment ◽  
Wide Range ◽  
The Mean ◽  
Sommerfeld Equation ◽  
Range Of Values ◽  
Flat Plate Boundary Layer

Numerical space-amplified solutions of the Orr-Sommerfeld equation for the case of a boundary layer on a flat plate have been calculated for a wide range of values of frequency and Reynolds number. The mean flow is assumed to be parallel and given by the appropriate component of the Blasius solution. The results are presented in a form suitable for comparison with experiment and are also compared with calculations of earlier authors.

Sign in / Sign up

Export Citation Format

Share Document