ECE 487 - Introduction to Quantum Electronics

Term: Fall 2020

Course Objective: The goal of this course is to introduce the basic theory of quantum mechanics and its application in modern electronics and technology. Specifically, the course will apply the principles of quantum mechanics to understand optoelectronic phenomena, including bandstructures and superconductors, behind cutting-edge nanoelectronic devices and quantum computing frameworks.

Time/Location: T/R 9:30AM-10:50AM, Zoom (link). Synchronous lectures will also be recorded and available in Illinois Media Space.

Instructor: Prof. Kejie Fang, (Email: kfang3@illinois.edu)

Office Hours: Monday 4:00 PM - 5:00 PM, Zoom (link)

Course Website: https://courses.grainger.illinois.edu/ece487/fa2020

Lecture Notes: Self-contained lecture notes will be posted on the course website.

Textbook (optional): Quantum Mechanics for Scientists and Engineers by David A. B. Miller

Grading: The grading for the course breaks down as follows:

Homework - 40%
Midterm - 30%
Final - 30%

Homework will be regularily assigned and posted on the course website.

Homework submission and return is via Gradescope. Follow this instruction of self-adding to the Gradescope course. Course entry code: M532GE.

Course Topics:

Schrodinger equation and principles of quantum mechanics
Quantum mechanical tunneling
Harmonic oscillators
Operators and uncertainty principle
Perturbation theory
Tight binding model and bandstructures
Angular momentum and quantum spin
Electromagnetic field quantization
Entanglement

Course Outline (roughly following Miller's textbook):

Chapter 2: 6 lectures
Chapter 3: 4 lectures
Chapters 4-5: 4 lectures
Chapter 6: 2 lectures
Chapter 7: 1 lectures
Midterm
Chapter 8: 4 lectures
Chapters 9, 12: 2 lectures
Chapter 13: 1 lectures
Chapter 15: 3 lectures
Chapter 18: 1 lectures
Final
 
Homework
 
Miller's problem set
 
HW1  Solutions
HW2  Solutions
HW3  Solutions
HW4  Solutions
HW5  Solutions
HW6  Solutions
HW7  Solutions
 
Lecture Notes
Lecture 1  Lecture 2
Lecture 3
Lecture 4  Lecture 5
Lecture 6  Lecture 7
Lecture 8  Lecture 9
Lecture 10
Lecture 11  Lecture 12
Lecture 13
Lecture 14  Lecture 15
Lecture 16  Lecture 17
Lecture 18 
Lecture 19  Lecture 20
Lecture 21  Lecture 22