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Quantum Fundamentals
 
Fall 2017

Syllabus

Tentative: Check Often For Updates

Day Topic:
  Subtopic
Reading
  (MainAlternate,  Deep)
Due Dates
1
Wed
9/20
Intro to the Paradigms
 
 
2
Thu
9/21
Classical Spin
Magnetic Moment
Stern Gerlach Experiment
 
 
Angular Momentum
Some Stern Gerlach History
McIntyre 1.1.0
 
     
3
Fri
9/22
Math Bits
  Complex Numbers
Review Circle Trig
Complex Numbers (1.1-1.6)
 
HW 1
Linear Algebra by Example
Solutions
4
Mon
9/25
Math Bits
  Matrix Manipulations
  Representations of Complex Numbers
Linear Algebra (2.1-2.7)
 
Quiz 1
 
5
Tue
9/26
Math Bits
  Using Arms to Represent Complex Numers
  Linear Transformations
  Bra-Ket Notation
Linear Algebra (2.8-2.9)
 
 
   
6
Wed
9/27
Math Bits
  Finding Matrix Elements
  Matrix Notation
 
 
HW 2
Solutions
7
Thu
9/28
Math Bits
  Eigenvectors
  Eigenvalues
Eigenvalues and Eigenvectors
 
  
8
Fri
9/29
Senior Thesis Info
  Undergraduate Research
  WIC/Thesis Course
 
 
 
HW 3
Solutions
 
9
Mon
10/2
Models
States
Postulate 1
  Postulates
Quantum State Vector
Stern Gerlach Experiment
  Stern Gerlach PhET
  Spins Laboratory Simulation
  Stern Gerlach Intro Activity
 
 
McI 1.5
McI 1.3-1.4
T 1.3-1.5, L 11.2
 
 
 
Quiz 2
      
10
Tue
10/3
Probability
Using the Sz Basis
Spin Unknowns
  Finding Unknown States
  Spin Reference Sheets
 
 
 
 
    
11
Wed
10/4
Probability
Using inner products to represent coefficients
 
 
HW 4
Solutions
12
Thu
10/5
Probability
Finding Orthogonal Vectors
Normalizing Vectors
Spin Unknown Revisited
 
 
 
 
    
13
Fri
10/6
Projection Operators
McI 2.2-2.4
T 1.4
 
HW 5
Solutions
14
Mon
10/9
Intro to Spin 1
General Quantum States
 
 
Quiz 3
 
15
Tue
10/10
Projection Operators
The Projection Postulate
Interferometer
  Interferometer Activity
 
 
 
   
16
Wed
10/11
Properties of Hermitian Matrices
Operators
  Matrix Activity
Eigenvalue Eqns.
 
McI 2.1
T 1.5-1.6, L 11.1, 11.6
 
HW 6
Solutions
 
17
Thu
10/12
S^2
Matrix Elements
Expectation Value
Uncertainty
 
 
McI 2.3
McI 2.5
McI 3.1
L 3.4-3.5
     
18
Fri
10/13
Communtation
McI 3.2
L 11.9
 
HW 7
Solutions
19
Mon
10/16
Uncertainty Relations
 
Quiz 4
20
Tue
10/17
Solving the Schrodinger Equation
  Time Development Activity
Time Development
 
 
  
21
Wed
10/18
Time Development
 
 
HW 8
Solutions
22
Thu
10/19
The Wavefunction
  Example Time Evolved Wavefunctions
Operators and Functions
McI 5.3
McI 5.1-5.2
  
23
Fri
10/20
The Infinite Square Well
  Energy Eigenstates
McI 5.4
 
HW 9
Solutions
24
Mon
10/23
The Infinte Square Well
  Time Evolved Eigenstates
  Superposition
  ISW Sim
 
 
 
Quiz 5
  
25
Tue
10/24
Superposition and Time Dependence
  ISW 1
Superposition and Time Dependence
  ISW 2
McI 5.5
McI 5.8
  
26
Wed
10/25
The Finite Square Well
Qualitative solutions
 
 
HW 10
Solutions
27
Thu
10/26
Review
 
 

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