**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