Day 1 10/31

Welcome & Overview

Core Quantum Questions

Review Quantum Systems
Core Quantum Questions

Day 2 11/1

Bound States for the Finite Well

Solving the Energy Eigenvalue Equation for the Finite Well

Reading: McIntyre 5.5

Bound States PhET

Day 3 11/2

HW 1

HW 1
HW 1 (pdf)

Qualitative (Eyeball) Solutions for a Bumpy Well

Asymmetric Well

Reading: McIntyre 5.10.1

Day 4 11/3

Free Particle

Free Particle Energy Eigenstates

Free Particle Momentum Eigenstates & de Broglie Wavelength

Momentum Eigenstates of the Free Particle

Day 5 11/4

HW 2

HW 2
HW 2 (pdf)

Intro to Momentum Space

Day 6 11/7

Definition of Fourier Transform and Inverse

Reading: Fourier Transforms

Reading: McIntyre Appendix D: Waves & Fourier Analysis

Fourier Transforms

Fourier Transform of the Delta Function
Fourier Transform of a Plane Wave
Fourier Transform of a Shifted Function
Fourier Transform of a Derivative

Wolfram Fourier Transform Calculator

Making Waves PhET

Reading: Fourier Transform of the Delta Function

Reading: Properties of the Fourier Transform

Day 7 11/8

Intro to Wave Packets: Discrete Superposition

Discrete Superposition of Energy Eigenstates of the Free Particle

Gaussian Functions

Gaussian Parameters

Gaussians

More Fourier Transforms

Fourier Transform of a Gaussian

Reading: Properties of the Fourier Transform

Reading: Examples of Fourier Transform

Day 8 11/9

HW 3

HW 3
HW 3 (pdf)

Normalization of the Gaussian for Wavefunctions

Gaussian Wave Packets

Reading: McIntyre 6.2

Wave Packet PhET

Day 9 11/10

Momentum Representation Operators

Momentum Representation of Operators

Momentum Representation Wavefunctions

Momentum Representation of the Energy Eigenstates of the Infinite Square Well

Day 10 11/14

Uncertainty Principle

Estimating Energy with the Uncertainty Principle

Reading: McIntyre 6.3

Day 11 11/15

Estimating Energy with the Uncertainty Principle: Harmonic Oscillator

Unbound States & Scattering

Day 12 11/16

HW 4

HW 4
HW 4 (pdf)

Tunneling Through Barriers

Scattering for the Finite Well Sim
Scattering off a Finite Step

Reading: McIntyre 6.5

Quantum Tunneling & Wave Packet PhET

Day 13 11/17

2 Coupled Oscillators

Day 14 11/18

HW 5

HW 5
HW 5 (pdf)

2 Coupled Oscillators

Two Oscillating Masses

Day 15 11/21

Ring of 4 Oscillators

Day 16 11/22

Normal Modes & Translational Symmetry

Day 17 11/23

HW 6

HW 6
HW 6 (pdf)

N Oscillators

Day 18 11/28

Infinite Oscillators in a Ring

Day 19 11/29

LCAO: Energy Eigenstates of a Two-Well Chain

LCAO: Two Delta Wells

Reading: McIntyre 15.1.1

Day 20 11/30

HW 7

HW 7
HW 7 (pdf)

LCAO: Energy Eigenstates of an N-Well Chain

Reading: McIntyre 15.1.2

Day 21 12/1

Band Structure

Reading: McIntyre 15.4

Bloch's Theorem & the Molecular States

Reading: McIntyre 15.5

Density of States

Reading: McIntyre 15.7

Day 22 12/2

HW 8

HW 8
HW 8 (pdf)

Review

Final Exam 12/8 @noon-2pm

Topic/Day

Activities

Resources

Homework Due