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Quantum Fundamentals
 
Fall 2018

Syllabus

Tentative: Check Often For Updates

Day Topic:
  Subtopic
Reading
  (MainAlternate,  Deep)
Due Dates
1
Thu
9/20
Intro to the Paradigms
Classical Spin
  Spinning Top
 
 
  
2
Fri
9/21
Magnetic Moment
  Spinning Charged Sphere
Stern Gerlach Experiment
  Stern Gerlach PhET
  OSP Spins Laboratory Simulation
  Stern Gerlach Intro Activity
 
 
McIntyre 1.1.0
Some Stern Gerlach History
HW 1
HW 1 Solutions
  
3
Mon
9/24
Math Bits
  Complex Numbers
  Trig PhET
 
Review Circle Trig
Complex Numbers (1.1-1.6)
 
 Linear Algebra by Example
  
4
Tue
9/25
Math Bits
  Matrix Manipulations
  Bra-Ket Notation
  Linear Transformations
Operations with Matrices (2.1-2.9)
 
 
Quiz 1
  
5
Wed
9/26
Math Bits
  Matrix Elements
 
 
 
HW 2
HW 2 Practice Solutions
HW 2 Solutions
6
Thu
9/27
Math Bits
  Eigenvectors & Eigenvalues
Eigenvectors & Eigenvalues
 
  
7
Fri
9/28
Math Bits
  Special Matrices
 
 
 
HW 3
HW 3 Practice Solutions
HW 3 Solutions
8
Mon
10/1
Dot Product in Different Representations
Using inner products to represent coefficients
 
 
Quiz 2
 
9
Tue
10/2
Models
States
Postulate 1
  Postulates
Quantum State Vector
  OSP Spins Laboratory Simulation
Probability
Using the Sz Basis
  Spin Reference Sheets
 
 
 
McI 1.5
 
McI 1.3-1.4
T 1.3-1.5, L 11.2
 
       
10
Wed
10/3
Normalizing Vectors
Intro to Spin 1
 
 
 
HW 4
OSP Spins Laboratory Simulation
HW 4 Solutions
11
Thu
10/4
Spin Unknowns
  Finding Unknown States
 
 
 
 
    
12
Fri
10/5
General Quantum States
 
 
HW 5
HW 5 Solutions
13
Mon
10/8
Projection Operators
  Projection Operators Activity
McI 2.2-2.4
T 1.4
Quiz 3
14
Tue
10/9
The Projection Postulate
Interferometer
  Interferometer Activity
 
 
  
15
Wed
10/10
Completeness Relations
 
HW 6
16
Thu
10/11
Properties of Hermitian Matrices
Operators
  Matrix Activity
Eigenvalue Eqns.
S^2
Matrix Elements
 
 
McI 2.1
T 1.5-1.6, L 11.1, 11.6
 
 
HW 6 Solutions
    
17
Fri
10/12
Expectation Value
  Difference of Dice
Uncertainty
McI 2.3
McI 2.5
HW 7
HW 7 Solutions
18
Mon
10/15
Expectation Value
Uncertainty
 
 
Quiz 4
 
19
Tue
10/16
Commutation
Uncertainty Relations
McI 3.1
L 3.4-3.5
McI 3.2
L 11.9
  
20
Wed
10/17
Solving the Schrodinger Equation
  Time Development Activity
Time Development
  Class Notes
 
 
 
HW 8
HW 8 Solutions
 
21
Thu
10/18
Time Evolution of Quantum States
Spin in Uniform Magnetic Field
 
 
  
22
Fri
10/19
Senior Thesis Info
  Undergraduate Research
  WIC/Thesis Course
 
 
HW 9
HW 9 Solutions
23
Mon
10/22
The Wavefunction
  Notes
McI 5.1-5.2
Quiz 5
24
Tue
10/23
Operators and Functions
  Operator Activity
The Infinite Square Well
  Energy Eigenstates
  Class Notes
 
McI 5.3
McI 5.4
 
    
25
Wed
10/24
The Infinte Square Well
  Time Evolved Eigenstates
  Superposition
  Example Time Evolved Wavefunctions
  ISW Sim
 
 
 
 
HW 10
HW 10 Solutions
  
26
Thu
10/25
More Infinite Square Well
Representations of ISW States
  Activity Handout
Bound States
  Bound States PhET
  Handout
McI 5.5
 
 
 
    
27
Fri
10/26
Review
  Representations Review
  My Table
 
 
HW 11
Spins Reference Sheet
28
Mon
10/29
1st Day of Energy & Entropy
Ph425 Final Exam 7-9pm
 
 
HW 11 Solutions
 

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