Appendix
The Coulomb Approximation
Quantum Defect Formulation
Quantum defect phase shift
n
dependence of finite range potentials
EBK formulation
QM equivalent
Perturbations
Example of exact QD solution
Asymptotic forms
Quadratic solution
Series expansion
Quantization
Comparison of EBK solution
Formal solution
Scaling
Other power laws
General solution for Coulomb potential
Apply BC at large
r
Ritz Expansion
Kepler orbit through Ptolemy sphere
Phase integral expansion
(continued)
Ritz expansion
QD plot
Penetrating and polarizing slopes
Z
dependence
Extremum
Variation
Analytical solution: Bates-Damgaard
Wave functions from experimental energies
Bethe-Salpeter
s-p
Matrix
n
p
*
vs
n
s
*
landscape
Analytic solution
Bates-Damgaard formulation
B-D table for
s-p
(continued)
B-D table for
p-d
(continued)
B-D table for
d-f
(continued)
Examples
Mn XIV 4
s
-4
p
BD interpolation
Angular factors
S, f
and
A
values
Na 3
s
-3
p
S
values
f
and
A
values
Camatrel access
Numerical solution: Lindgård-Nielsen
Units reduction
Numerical formulation
Sample page
Small
r
cutoff procedures
Coulomb Approximation with Model Potential - CAHS
Ti XII core
Fortran listing for Camatrel
Successes of CAHS
Sources of spectroscopic data
Status of spectroscopic classification work
Spectra of various neutral elements
Spectroscopic bibliographic data base
Cu sequence energies
Semiempirical evaluations
IP
by Ritz expansion
IP
by polarization model
Use of
ab initio
MBPT and SE screened Lamb shift
Formulation
MBPT calculations
Li sequence
Joint European Torus Tokamak
Predictions and tokamak measurements
Na sequence
Cu sequences
Lamb shift parametrization
Extension to high
Z
Contribution to fs
QED corrections for higher n
Screening parameters for Li, Na and Cu sequences
IP determination with multiple processes
Be sequence
IP
formulation
IP data and predictions
Be
IP
plot
Cowan code toy
Functional approximation: Burgess-Seaton
Sinusoidal formulation
Coefficients
Disappearance spectroscopy
Cu
p-d
plot
Cu
s-p
plot
Cu
d-f
plot
Cu sequence
Ag sequence
Au sequence
Hg II 5
p
decay curve
K
s-p
plot
K
p-d
plot
K 6
p
-8
d
C II H and K lines
Dipole moment of a complex atom
Dipole moment
Formula
Polarization shift
Multichannel Quantum Defect Theory
Two-channel formulation
Two-channel Lu-Fano plot
Stereo three-channel Lu-Fano plot
CPC programme
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12
Chapter 13
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