Day 1

Welcome & Overview

Liz's OneNote Notebook

Fun with Translation Operators

Intro to Discrete Translation Operator Eigenvalues \& Eigenvectors of $\hat{S}^{\uparrow}$ (5 Beads)

Reading: GMM Discrete Translation Operations
Reading: GMM Powers and Roots of Complex Numbers

Day 2

2 Symmetric Coupled Oscillators

Reading: Taylor 11.1,2
Coupled Oscillations Mathlet
Normal Modes PhET
Reading: Taylor 11.3,7

Day 3

Gaussian Functions

Gaussian Parameters

Reading: GMM Gaussians

HW 1 (w/ Solution)
HW 1 (pdf)

Normalization of the Gaussian

Reading: GMM Normalization of Gaussians

Day 4

Review Fourier Series

Definition of Fourier Transform and Inverse

Reading: GMM: 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 Transforms

Day 5

More Fourier Transforms

Reading: Properties of the Fourier Transform

HW 2 (w/ Solution)
HW 2 (pdf)

Day 6

Wave Particle Duality

Energy Eigenvalue Equation and Wavefunction

McIntyre 5.2,3

Day 7

Bound States for the Infinite Square Well

McIntyre 5.4

Delta Function Potential Well

Day 8

Bound States for the Finite Well

Solving the Energy Eigenvalue Equation for the Finite Well

Reading: McIntyre 5.5, 5.10.1

Bound States PhET

Day 9

Free Particle

McIntyre 6.1

Free Particle Energy Eigenstates

Free Particle Momentum Eigenstates & de Broglie Wavelength

Momentum Eigenstates of the Free Particle

Day 10

Intro to Momentum Space

McIntyre 6.1

Day 11

Momentum Representation Operators

Momentum Representation of Operators

Momentum Representation Wavefunctions

Momentum Representation of the Energy Eigenstates of the Infinite Square Well

Day 12

Intro to Wave Packets: Discrete Superposition

Discrete Superposition of Energy Eigenstates of the Free Particle

Gaussian Wave Packets

Reading: McIntyre 6.2

Wave Packet PhET

Day 13

Uncertainty Principle

Estimating Energy with the Uncertainty Principle

Reading: McIntyre 6.3

Day 14

Unbound States & Scattering

Reading: McIntyre 6.4

Day 15

Tunneling Through Barriers

Reading: McIntyre 6.5

Day 16

Coupled Oscillators Review

Taylor 11.1,2,3,7

Day 17

Ring of 4 Oscillators

Day 18

Normal Modes & Translational Symmetry

Day 19

N Oscillators

Reading: Taylor 11.5

Infinite Oscillators in a Ring

Day 20

Phonons

Day 21

LCAO: Energy Eigenstates of a Two-Well Chain

LCAO: Two Delta Wells

Reading: McIntyre 15.1.1

Day 22

LCAO: Energy Eigenstates of an N-Well Chain

Reading: McIntyre 15.1.2

Day 23

Band Structure

Reading: McIntyre 15.4

Day 24

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