2/8 Mon

Welcome to QF!

Classical Spin

2/9 Tues

Magnetic Moment

Measuring Electron Spin with Stern-Gerlach Experiments

Some Stern-Gerlach History

McIntyre 1.1.0

2/10 Wed

Review: Complex Numbers: Rectangular Form

Complex Numbers GMM 2.1-2.4

HW 1 Practice
HW 1 Practice (pdf)
HW 1
HW 1 (pdf)

Review: Circle Trig

Review Trig Functions

Trig Tour PhET

Review: Operations with Matrices

Operations with Matrices GMM 3.1-3.9

Complex Numbers: Exponential Form

Complex Numbers GMM 2.5-2.6

More Operations with Matrices

2/11 Thurs

Linear Transformations

2/12 Fri

Inner Products

Representations for Finding Components
Expanding a Complex-valued Vector in a Basis
Finding Matrix Elements

HW 2 Practice
HW 2 Practice (pdf)
HW 2
HW 2 (pdf)

Matrix Elements

Bra-ket (Dirac) Notation

Bra-Ket Notation GMM 3.7
Bra/Ket Notation

Abstract Vector Spaces and Inner Products
(Optional, Advanced)

Vector Spaces GMM Chap. 4

2/15 Mon

Hermitian Matrices

Hermitian Matrices GMM 6.1-6.4

Eigenbases

Eigenbases GMM 5.7

Diagonalization

Change of Basis GMM 6.6

2/16 Tues

Finding Eigenvectors & Eigenvalues

Finding Eigenvectors and Eigenvalues

Eigenvectors & Eigenvalues GMM 5.1-5.4

2/17 Wed

Intro to the Stern-Gerlach Experiment

Intro to Stern-Gerlach Experiments 1
Binomial Statistics Mathematica

SPINS Simulation

Statistical Description of Stern-Gerlach Experiments

HW 3
HW 3 (pdf)

2/18 Thurs

The Quantum State Postulate

Sequential Stern-Gerlach Experiments

McIntyre 1.2

Lessons Learned from Stern-Gerlach Experiments

McIntyre 1.2.3

The Probability Postulate

Probabilities of $S_z$ Measurements for Spin-1/2 in Bra-Ket Notation

McIntyre 1.2

2/19 Fri

Relative & Overall Phase

HW 4
HW 4 (pdf)

Determining Spin from Experiments

2/22 Mon

Determining Spin from Experiments

Finding Unknown States Leaving the Oven in a Spin-$\frac{1}{2}$ System

2/23 Tues

Multiple Representations of Quantum States

2/24 Wed

Multiple Representations of a Quantum State

HW 5
HW 5 (pdf)

Intro to Higher Spin Systems

2/25 Thurs

Changing Bases with a Completeness Relation

Changing Spin Bases with a Completeness Relation

Completeness Relation/
Matrix Decompositions GMM 6.9

Projection Operators

McIntyre 2.2-2.4

The Projection Postulate

Quantum Interferometer

Spin-1 Interferometer

2/26 Fri

Continue Interferometer Cont.

HW 6
HW 6 (pdf)

3/1 Mon

Quantum Operators

Constructing the Spin Operators

Calculating Matrix Elements

3/2 Tues

Expectation Value & Uncertainty

Expectation Value and Uncertainty for the Difference of Dice

McIntyre 2.5, 3.1

Dirac Representations of Operators: The Decomposition Theorem

3/3 Wed

Quantum Expectation Values

HW 7
HW 7 (pdf)

3/4 Thurs

The Squared Spin Operator

Commutation

Finding if $S_{x}, \; S_{y}, \; and \; S_{z}$ Commute

Solving the Schrodinger Equation & Time Evolution

Solving the Schrodinger Equation

3/5 Fri

Spin Precession in a Uniform Magnetic Field

Time Evolution of a Spin-1/2 System

HW 8
HW 8 (pdf)

3/8 Mon

More Time Evolution

QM Time Evolution

3/9 Tues

Wavefunctions

Operators & Functions

McIntyre 5.1-5.2

3/10 Wed

The Infinite Square Well

McIntyre 5.3-5.4

HW 9
HW 9 (pdf)

3/11 Thurs

Time Dependence for the Infinite Square Well (ISW)

Representations of the Infinite Square Well

Time Evolution of a particle in an Infinite Square Well

Time Evolution of the ISW

QuVis Simulations of the Time Development of Infinite Well Quantum States

Bound States PhET

3/12 Fri

Final Exam Review Guide

HW 10
HW 10 (pdf)

Review

For Fun: Nature Milestones in Spin

3/16 Tues

Final Exam

Topic/Day

Activities

Resources

Homework Due