This document provides a summary of quantum mechanical and solid state physics concepts: 1. It reviews the Schrodinger equation and wavefunction solutions for quantum systems like electrons and atoms. The wavefunction Ψ relates to real physical measurements through the Born interpretation of probability density. 2. When atoms come together to form solids, the discrete energy levels of individual atoms overlap and form continuous energy bands. This allows electrons in solids to take on only certain allowed energy values. 3. Models like the Kronig-Penny model illustrate how the periodic potential of a solid crystal results in an electronic band structure with permitted energy bands separated by forbidden gaps.