**Authors:** John Atwell Moody

Contents

Part I

O(j) is not fully equivariant if j is odd

Representations of SO3

Eigenfunctions of the Laplacian

Attempts to explain the periodic table

Attempts to explain atomic spectra

Part II

Three corrections to the fine structure

A discussion of perturbation theory

Half-integer values of l – first explanation

Generalities about the Hamiltonian formulation

Schroedinger’s function W

Half-integer values of l – other explanations

The atom

Schroedinger’s choice of solutions

Residues

The canonical divisor and j quantum number

Intuitive description of polarization

Relation between smooth and holomorphic Laplacian operators

A coincidence about the periodic table

Linear systems of wave forms

Hodge theory

The Levi-Civita action is not Lagrangian for its Riemann metric

Foundations

Unification of the various coupling schemes

Discussion of the problem of non-convergent integrals

The ethics of science

First concepts of the Lamb shift

A question about Pauli exclusion

The notion of probability

Concluding remark

False fine structure

Electron spin and Pauli exclusion

It was not the right conclusion

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