Below you can find several notes and derivations for various topics related to electronic structure theory. Many of these mirror posts elsewhere on this blog.

In no particular order:

Guide to Molecular Integral Evaluation

The Dirac Equation for a Free Particle

The Dirac-Hartree-Fock Equation

Equation of Motion Derivation of the RPA Equations

Broken Symmetries in Hartree Fock

Kinetic Balance in Relativistic Electronic Structure Theory

Linear-Response Coupled Cluster Theory

Derivation of Linear Response Function

Polarization Propagator and Equation of Motion Methods