The Physics 486487 sequence provides an introduction to quantum physics for majors and grad students in Physics, ECE, Materials Science, Chemistry, etc. The course starts by introducing the basic concepts of quantum mechanics: What is a quantum state and what are the rules that specify how it can change and ends by realizing that exactly computing properties of states is hard and sophisticated approximations are required. In between we will see both the exotic parts of quantum mechanics and how to demystify many of these aspects.
Prof. Bryan Clark
email: bkclark_at_illinois_dot_edu
office: 2111 Engineering Sciences Building (ESB)
Garrett Vanacore
email: vanacor2_at_illinois_dot_edu
office: 4121 Engineering Sciences Building (ESB)
Xiongjie Yu
email: xyu40_at_illinois_dot_edu
Srivatsan Balakrishnan (Homeworks 1,4,7,10)
email: sblkrsh2_at_llinois_dot_edu
Jitong Yu (Homeworks 2,5,8,11,14)
email: jyu23 at illinois.edu
Gabi Petrica (Homeworks 3,6,9,12,13)
email: petrica2 at illinois.edu
Homework sets will be due every Wednesday (excepting Aug. 27) by 9PM. Homework sets should be placed in the 486 homework box (located on the north side of Loomis Lab, between rooms 267 and 271 LLP) on the day of the due date. Unless a valid, verifyable excuse is given, homework sets which are submitted late will receive a 50% penalty. Homework sets which are turned in more then a week late will receive no credit. Questions about the grading of a homework must be addressed within two weeks of receiving the assignment back.
The homework counts for a large part of your grade (45%) and will be difficult. You will learn quantum mechanics by doing problems!
You may discuss the homework problems with your classmates, but each student is required to provide his/her own solutions. You may not look up solutions to the homework on the internet.
Your grade will be based on
If you cannot attend a class or complete your homework due to illness or other valid excuse, please give the McKinley slip (or other note) to Kate Shunk in the Undergraduate Courses office (233 Loomis).
The giving of assistance to or receiving of assistance from another person, or the use of unauthorized materials during University Examinations can be grounds for disciplinary action, up to and including expulsion from the University. You may not use the internet to find solutions to problems you are working.
The following are the required/recommended course texts:
Other books I highly recommend reading:
Additional books on reserve in the library:
This should be treated as tentative and will change. Please check the website: frequently for updates.
Notice, we will not be following any one book closely.
Week  Date  Lecture  Discussion  Homework  Reading 
1  08/26  What specifies a quantum state? Lecnotes1 
HW1 (due 09/03) corrected of typos 
Griffiths 3.6; Shankar 1.1 and 1.3.1; Baym Chapter 1;  
08/28  Measurement and Expectation Lecnotes2  Shankar 4.1, 4.2, ( pg 128); Griffiths 1.2, 1.3, 3.2;  
2  09/02  Time Evolution + Stationary States Lecnotes3 
Dis2: p1, p2 Solution: p1 p2 
HW2 (due 09/11) HW2 Solution  Shankar 1.8, 1.10; CohenTannoudi ch 3; Baym Ch. 14; Griffiths 2.1, 2.2; 
09/04  SternGerlach experiment + operators Lecnotes4  Feynman 5.1; Shankar 9.x; CohrnTannoudi 4.A; Griffths 3.5  
3  09/09 
Schrodinger's Equation Lecnotes5 Lecture notes from previous version of course on solving particle in a box: Extra Lecnotes 
Solutions: 
HW3 (due 09/18) 
Shankar 4.3, 5.2; Baym Ch. 4; Griffiths 1.1, 2.1 
09/11  Solving the Schrodinger Equation Lecnotes6  Shankar 1.8; Griffiths 3.3  
4  09/16  The Density Matrix and Finite Temperature Lecnotes7 
HW4 (due 09/25) HW4 Solution 
Shankar 133141; Baym Ch1, problems 17,18; Neilsen and Chaung 2.4; CohenTannoudi EIII 

09/18  Two Particles/Spins Lecnotes8  Shankar Ch 10; CohenTannoudi DIV; Griffiths Ch 5;  
5  09/23 
The simple harmonic oscillator: real space Lecnotes9 Lecture notes from previous version of course on solving SHO 
Dis5 (problem in solutions) 
HW5 (due 10/02) 
Griffiths: 2.3; Shankar: Ch. 7 (202) 
09/25  The simple harmonic oscillator: operator expansion Lecnotes10  Griffiths: 2.3; Shankar: Ch. 7 (202)  
6  09/30  More Simple Harmonic Oscillator Lecnotes11 
HW6 (due 10/09) 
Griffiths: 2.3; Shankar: Ch. 7 (202)  
10/02  Path Integrals I Lecnotes12 
Shankar Chapter: The Path Integral Formulation of Quantum Theory; Baym pg 6979; Also here


7  10/07  Path Integrals II Lecnotes13 
HW7 (due 10/17) 
Chapter 1 of Quantum Mechanics and Experience by David Z. Albert  
10/09  Path Integrals III Lecnotes14  Shankar Chapter: The Path Integral Formulation of Quantum Theory; Baym pg 6979; Also here  
8  10/14  Summary + Questions  HW8 (due 10/23) HW8 Solution  
10/16  Midterm Exam midterm  
9  10/21 
Quantum Mechanics in higher dimensions

HW 9 (due 10/30) HW9 Solution 
Shankar Chapter: Rotational Invariance and Angular Momentum + Symmetries and their consequences; Griffiths Chaper: Quantum Mechanics in three dimensions. 

10/23  Angular Momentum I Lecnotes17 
Shankar Chapter: Rotational Invariance and Angular Momentum + Symmetries and their consequences; Griffiths Chaper: Quantum Mechanics in three dimensions. 

10  10/28  Angular Momentum II Lecnotes18 
HW 10 (due 11/06) 
Shankar Chapter: Rotational Invariance and Angular Momentum + Symmetries and their consequences + The Hydrogen Atom; Griffiths Chaper: Quantum Mechanics in three dimensions. 

10/30  The coulomb potential Lecnotes19 
Shankar Chapter: Rotational Invariance and Angular Momentum + Symmetries and their consequences + The Hydrogen Atom; Griffiths Chaper: Quantum Mechanics in three dimensions 

11  11/04  Beyond the Hydrogen Atom Lecnotes20  HW11 (due 11/13) HW11sol 
Shankar Chapter: 13.4; Griffiths Chaper: Quantum Mechanics in three dimensions. 

11/06  Identical Particles + Intro to Quantum Computing Lecnotes21 
Shankar Chapter: 10; Griffiths Chaper: Chapter 5 

12  11/11  Shor's Algorithm Lecnotes22  HW12 (due 11/20) HW12sol 
See John Preksill's notes: http://www.theory.caltech.edu/people/preskill/ph229/notes/chap6.pdf  6.9  6.11 

11/13  Grovers' Algorithm Lecnotes23 
See John Preksill's notes: http://www.theory.caltech.edu/people/preskill/ph229/notes/chap6.pdf  6.8 

13  11/18  A brief overview of QEC and Adiabatic Quantum Computing Lecnotes24  HW13 (due 12/04) HW13sol 
See John Preksill's notes: http://www.theory.caltech.edu/people/preskill/ph229/notes/chap7.pdf for quantum error correction; Chapter 10 of Griffiths for adiabatic theorem 

11/20  Approximations: The Variational Approach Lecnotes25 
Chapter 7 of Griffiths; Chapter 16 of Shankar 

14  12/02  The Variational Approach Continued Lecnotes26  Dis14 
Chapter 7 of Griffiths; Chapter 16 of Shankar 

12/04 
SlaterJastrow + Beyond the Variational Principle Lecnotes27 
http://boulder.research.yale.edu/Boulder2010/Lectures/Clark/DMC_Final_Notes.pdf 

15  12/09  Questions Lecnotes28  No HW  
12/11  No class 