Chapter 12
Electric Polarizabilities and Long-Range Interactions

Perturbed and unperturbed problems
Ansatz expansion
Recursion relation
First order and second orders
Third order

Solution for a multipole expansion (Sect. 12.3)

Perturbed and unperturbed Hamiltonians
Hartree units

Dalgarno-Lewis Theory (Sect. 12.2)

Commutator formulation
Approach
Second order
Higher order
Evaluate commutator
Expanding
Solution in series
Energy value
H-like ground states
Polarizabilities
Compare with direct computation
He and H₂⁺ cases

Higher order, non-adiabatic, and retardation polarizabilities (Sect. 12.4)

Scaling of higher order terms
2nd, 3rd and 4th order
Non-adiabatic corrections
Casimir-Polder retardation effects
Bohr atom with penetration and QED
Recoil corrections
General form
Numerical values

Experimental studies (Sect. 12.5)

Electrostatic intervals
Ptolelmy spheres
Fits to measured data

Quadratic Stark effect

Formulation
Second order
Solution
Result

Generalized

Dipole polarizablities
Quadrupole and non-adiabatic polarizabilities
Review He
Adiabatic and non-adiabatic formulae
Generalized f-sums
Hydrogenic f-sums

Application to indices of refraction of inert gases (Sect. 12.7)

Index of refraction and polarization
Index of refraction of gases
continued
Computations of index
Values for H and inert gases
Summary

Chapter 1;   Chapter 2;   Chapter 3;   Chapter 4;   Chapter 5;   Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 13
Chapter 14
Chapter 15
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