1 Table of Contents: “... 1.Introduction to the Renormalization Group with Applications to Non-Relativistic Quantum Electron...”

2 Table of Contents: “... for Crystallization: A Variation on the Hubbard Model -- III.2 Phase Separation due to Quantum Mechanical Correlations...”

3 Table of Contents: “... Gas, the One- and Two-Component Cases -- Bose-Einstein Quantum Phase Transition in an Optical Lattice...”

4 Table of Contents: “... by Path Integrals -- III. Zeros of Partition Functions -- III. 1 Monomers and Dimers -- III. 2 Theory...”