
Symmetry in Quantum Mechanics
Prof. J. C. Baird
October 27, 1995

Introduction to Symmetry
Inversion and Permutation Symmetry
Overheads: Symmetry
Introduction to Symmetry: Inversion and the Schrodinger Equation
Introduction to Symmetry: Even and Odd Parity Wave Functions A
Introduction to Symmetry: Even and Odd Parity Wave Functions B
Introduction to Symmetry: Even and Odd Parity Wave Functions C
A 2D Matrix Representation
Multiplication of the 2D Matrix Representations
Formation of the Abstract Group Multiplication Table for the Group of Order Two

October 29, 1995

Inversion as a Transformation in a 2D space: Group Multiplication
Abstract Groups - Group Property
Abstract Groups continued
Abstract Groups continued
Overheads: Abstract Groups
Introduction to Abstract Groups

November 1, 1995

Irreducible Representations. Characters Introduced
Overheads: Representations of Abstract Groups
Representations for the group of order 6 representing the Ammonia Molecule

November 3, 1995

Symmetry in the Ammonia Molecule: A 3D Representations Continued
Symmetry in the Ammonia Molecule
Symmetry in the Ammonia Molecule Continued
Symmetry in the Ammonia Molecule Continued
Symmetry Continued
Overheads: Representations of Abstract Groups
Coordinates for the Ammonia Molecule
3D Representation Matrices for the Ammonia Molecule
Generation of A Four Dimensional Representation for the Ammonia Molecule
A Four Dimensional Representation for the Ammonia Molecule

November 8, 1995

Planer and Bent Formaldehyde: C2v and Cs Symmetry
Planer and Bent Formaldehyde Continued
Bent Formaldehyde Cs
Direct Product Ci x Ci leading to C2v Formaldehyde
Permutation Groups & Young's Tableau
Symmetry Functions and Matrix Element Theorems
Overheads: Symmetry in Ground and Excited States of Formaldehyde
Coordinates for the Ammonia Molecule

November 10, 1995

The Symmetry Function Generation Machine A
The Symmetry Function Generation Machine B
The Matrix Element Theorem. Symmetry Breaking
Formaldehyde: Correlation between Symmetry Groups
Symmetry of Three Coupled Oscillators
Symmetry of Three Coupled Oscillators Continued
Overheads: Symmetry Functions and the Matrix Element Theorem

November 13, 1995

The Rotation Group
The Rotation Group Continued
The Rotation Group: Characters for Two Angular Momenta
The Rotation Group Continued
Summary of Rotation Group Matrix Element Relationships
Overheads: The Pure Rotation Group

Return