PHYS 406
Fundamentals of Quantum Theory II
Spring 2013 Syllabus

Instructor: Carlo Segre segre [at] iit.edu
166a Life Sciences Building 312.567.3498
Office hours:   TBD Monday & Wednesday
Schedule: Posted at http://phys.iit.edu/~segre/phys406/13S
Meetings: Monday & Wednesday 15:15-16:30, 106 Stuart Building
URL: http://phys.iit.edu/~segre/phys406/13S/
Textbook: Introduction to Quantum Mechanics, Second Edition, David J. Griffiths, (Pearson Prentice Hall 2005).
Mathematica: To request a download and get started using Mathematica:
  1. Log into the myIIT portal (http://my.iit.edu)
  2. Select the Training and Support tab
  3. In the Office of Technology Services channel, in the center of the screen, click the link: "NEW! Get Mathematica Software".
Objectives:
  1. Understand time-independent perturbation theory.
  2. Understand the variational method.
  3. Understand the WKB and adiabatic approximations.
  4. Understand time-dependent perturbation theory.
  5. Understand scattering theory.
  6. Be able to solve applied quantum mechanics problems using the approximation method appropriate to the situation.
Material:
  • Identical particles
    • solids
    • quantum statistical mechanics
  • Time-independent perturbation theory
    • non-degenerate perturbation theory
    • degenerate perturbation theory
    • fine structure
    • Zeeman effect and hyperfine splitting
  • Variational method
    • variational principle
    • ground state of helium
    • hydrogen molecule
  • WKB approximation
    • the classical region
    • tunneling
    • connection fomulas
  • Time-dependent perturbation theory
    • two-level systems
    • emission and absorption of radiation
    • spontaneous emission
  • Adiabatic approximation
    • adiabatic theorem
    • Berry's phase
  • Scattering
    • partial wave analysis
    • phase shifts
    • Born approximation
  • Quantum paradoxes
    • the EPR paradox
    • Bell's theorem
    • the no-clone theorem
    • Schrodinger's cat
  • Other topics as appropriate
Homework:      Homework will be assigned weekly or bi-weekly, due as shown on the schedule. All homework assignments will be collected except as announced. Homework will be due at the beginning of the class period, prior to the start of the lecture unless otherwise stated. No late homework assignments will be accepted unless prior arrangements are made.
Exams:      There will be three examinations: two midterms and one final examination. Policies for the examinations will be set as the semester progresses.
Grading:      The percentage weighting for each component are shown below. The final letter grades will be awarded on a scale as shown below. This scale may vary up or down slightly, depending on the difficulty of the examinations.
Homework 15%
Midterm Exam 1 25%
Midterm Exam 2 25%
Final Exam 35%
Max % Grade Min %
100 A 88
88 B 75
75 C 62
62 D 50
50 E 0
Academic Honesty Policy: IIT has a Code of Conduct which is available at http://www.iit.edu/student_affairs/handbook/pdfs/HANDBOOK_2010_11.pdf (see page 31). All students in this course are expected to follow this code. The first violation will result in a grade of "zero" for that assignment (exam or quiz). Subsequent violations will result in a failing grade in the course.
Accomodation for Disabilities: Reasonable accommodations will be made for students with documented disabilities. In order to receive accommodations, students must obtain a letter of accommodation from the Center for Disability Resources in Life Sciences Building, room 218, 312-567-5744 or disabilities@iit.edu.
Important Dates:
  • Jan 25 - Last Day to Add Courses, Change Sections, etc.
  • Apr 01 - Last Day for Official Withdrawal
  • May 10 - Final Examination 10:30-12:30 in 111 SB