Physics 362 - Quantum Mechanics II Spring 2007

Syllabus

Schedule

Handouts
(NetID required)

Misc
 n=6, l=4, m=1
Visualization of the H-atom state n=6, l=4, m=1§

                      



         Syllabus

Instructor:  Kelvin Chu
513 Cook
kelvin.chu(at)uvm.edu
656.0064
Lectures:
Tuesday, Thursday at 9:30 in A402 Cook
Textbook:  Modern Quantum Mechanics, by J. J. Sakurai
Prerequisites:  Physics 273.
Topics: 
 Mathematical and physical foundations of nonrelativistic quantum mechanics from the unifying point of view of Dirac. Symmetry operations and the algebraic structure of quantum mechanics are emphasized.
Grades:
Grades in this course will be assigned as follows:
  • 25% Homework
    • Homework problems at due the beginning of class.
    • The goal of homework is for you to convince me that you understand the material and have mastery of concepts and techniques.  Neatness counts.
    • Limit your collaboration with fellow students to general procedures about strategies for solving a problem, rather than the solution itself.
  • 25% Exams
    • There will be a mid-term exam.  
  • 25% Final Exam
    • The final exam for this class is scheduled for Monday, 7 May at 8:00 a.m.  The Registrar's Spring Exam (non-Hermitian, undiagonalizable) Matrix can be found here.
  • 25% Class Participation
    • While this is a lecture course, it is incumbent upon the students to read the material beforehand and to be prepared for class.  Homework solutions will be discussed during class and students will be called upon to solve problems in front of the class.


         Schedule


Week
 Topic
 Notes
15 January, 2007 Fundamental Concepts HW01 (due 25 Jan, 2007)
22 January, 2007
Quantum Dynamics
  • Time evolution
  • Schrödinger vs. Heisenberg picture
 HW02 (due 1 Feb, 2007)
29 January, 2007 Quantum Dynamics
  • WKB
  • Feynman Path integrals
  • Gauge transforms
 HW03 (due 15 Feb, 2007)
4 February, 2007 No class
11 February, 2007 Angular Momentum
  • Rotations, commutators
  • Spin ½ systems
  • A taste of group theory.
 HW04 (due 22 Feb, 2007)
18 February, 2007 Angular Momentum
  • Density Operators
  • Eigenvalues and Eigenstates of Angular Momentum
 Class on 15 Feb cancelled due to UVM snow day.
25 February, 2007 Angular Momentum
  • Orbital Angular Momentum
  • Addition of Angular Momentum
  • Schwinger's Oscillator Model
  • Wigner-Eckhard Theorem
 HW05 (due 8 Mar, 2007)
4 March, 2007 Approximation Methods
  • Time-Independent Perturbation Theory
  • Zeeman Effect
11 March, 2007 Spring Break
18 March, 2007 Approximation Methods
  • Time-Dependent Perturbation Theory
  • Interactions with Classical Radiation Field
 HW06 (due 29 Mar, 2007)
25 March, 2007 Time-dependent Perturbation Theory HW07 (due 5 Apr, 2007)
1 April, 2007 Interactions with Classical Radiation Field
Symmetries in Quantum Mechanics		 HW08 (due 17 Apr, 2007)
8 April, 2007 Symmetries in Quantum Mechanics
15 April, 2007 Identical Particles HW09 (due 24 Apr, 2007)
22 April, 2007 Identical Particles
Scattering Theory
29 April, 2007 Scattering Theory


         Misc