Day 1

Welcome & Overview

Fun with Translation Operators

Reading: GMM Symmetry Operations
Reading: GMM Powers and Roots of Complex Numbers

Day 2

Normal Modes of 2 Coupled Oscillating Masses

Reading: Taylor 11.1,2
Normal Modes PhET

2 Coupled Oscillators - Special Case

Reading: Taylor 11.3,7

Day 3

Gaussian Functions

Reading: GMM Gaussians

Normalization of the Gaussian

Reading: GMM Normalization of Gaussians

Day 4

Review Fourier Series

Definition of Fourier Transform and Inverse

Reading: Fourier Transforms

Reading: McIntyre Appendix D - Waves & Fourier Analysis

Fourier Transforms

Wolfram Fourier Transform Calculator

Making Waves PhET

Reading: GMM: Fourier Transform of the Delta Function

Reading: GMM: Examples of Fourier Transform

Day 5

More Fourier Transforms

Reading: Properties of the Fourier Transform

Day 6

Core Quantum Questions

Review Quantum Systems
Core Quantum Questions

Bound States for the Infinite Square Well

Day 7

Bound States for the Finite Well

Solving the Energy Eigenvalue Equation for the Finite Well

Reading: McIntyre 5.5

Bound States PhET

Day 8

Qualitative (Eyeball) Solutions for a Bumpy Well

Asymmetric Well

Reading: McIntyre 5.10.1

Day 9

Free Particle

Free Particle Energy Eigenstates

Free Particle Momentum Eigenstates & de Broglie Wavelength

Momentum Eigenstates of the Free Particle

Day 10

Intro to Momentum Space

Day 11

Gaussian Wave Packets

Reading: McIntyre 6.2

Wave Packet PhET

Intro to Wave Packets: Discrete Superposition

Discrete Superposition of Energy Eigenstates of the Free Particle

Day 12

Momentum Representation Operators

Momentum Representation of Operators

Momentum Representation Wavefunctions

Momentum Representation of the Energy Eigenstates of the Infinite Square Well

Day 13

Uncertainty Principle

Estimating Energy with the Uncertainty Principle

Reading: McIntyre 6.3

Estimating Energy with the Uncertainty Principle: Harmonic Oscillator

Day 14

Unbound States & Scattering

Reading: McIntyre 6.4

Day 15

Tunneling Through Barriers

Reading: McIntyre 6.5

Day 16

Ring of 4 Oscillators

Day 17

Day 18

Day 19

Normal Modes & Translational Symmetry

Day 20

N Oscillators

Reading: Taylor 11.5

Day 21

Infinite Oscillators in a Ring

Day 22

LCAO: Energy Eigenstates of a Two-Well Chain

LCAO: Two Delta Wells

Reading: McIntyre 15.1.1

Day 23

LCAO: Energy Eigenstates of an N-Well Chain

Reading: McIntyre 15.1.2

Day 24

Band Structure

Reading: McIntyre 15.4

Bloch's Theorem & the Molecular States

Reading: McIntyre 15.5

Density of states

Reading: McIntyre 15.7

Day 25

Review

Final Exam

Final Exam Schedule

OSU Final Exam Schedule

Topic/Day

Activities

Resources

Homework Due