Physics 212A -- Quantum Mechanics I



Course Syllabus pdf file

Lecture notes
  • Lecture 1 Wavefunctions, Superposition principle
  • Lecture 2 Dirac notations and a review of linear algebra
  • Lecture 3 Mixed states and the density matrix
  • Lecture 3.5 Uncertainty Principle (Sakurai and Napolinato Chap 1.4)
  • Lecture 4 Schroedinger Eq, translation operator, canonical quantization
  • Lecture 5 Operators for angular momentum
  • Lecture 6 Schoedinger, Heisenberg, and interaction pictures
  • Lecture 7 1D harmonic oscillators -- Sakurai and Napolinato Chapter 2.3
  • Lecture 8 1D harmonic oscillators and quantum Hall effects -- Sakurai and Napolinato problem 2.39.
  • Lecture 9 1D scattering problem -- analytic continuation to bound states -- Baym book
  • Lecture 10 Central force fields-- Sakurai and Napolinato Chapter 3.6 and 3.7
  • Lecture 11 3D and 2D hydrogen atoms and 3D harmonic oscillators -- Sakurai and Napolinato Chapter 3.6 and 3.7
  • Lecture 12 2D harmonic oscillators -- Landau levels in the symmetric gauge
  • Lecture 13 Theory of angular momentum -- Sakurai and Napolinato Chapter 3.5
  • Lecture 14 Addition of anuglar momentum -- Sakurai and Napolinato Chapter 3.8
  • Lecture 14.5 Examples of calculation of CG coefficients.

    Howework assignment
  • HW 1 Sakurai (Revised edition) Chapter 1 Page 61 - 62 Problem 5, 8, 9, 13, due on Oct 10, on class Solution posted Oct29.
  • HW 2 Sakurai and Napolitano (Second edition ) Chapter 1 Problem 1.18, 1.21, 1.28, 1.30, 1.33, due on Oct 24 on class. Solution posted Oct29.
  • HW 3 Exercise 2, and 4 in Lecture note 5, Sakurai and Napolitano (Second edition) Chapter 2 Problem 2.3, 2.12, 2.19, due on Nov 7 on class. Solution posted on Nov 11.
  • HW 4 Sakurai and Napolitano (Second edition) Chapter 2 Problem 2.38, 2.39, the exercise on page 1 on note Lecture of "Scattering problem ...", due on Nov 21, in class. Solution posted Nov 25.
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  • HW 5 Sakurai and Napolitano (Second edition) Chpater 3 Problem 3.22, 3.21, 3.15, 3.24, 3.26, due on Dec 5 in class. Solution posted Dec 8.
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    Midterm and Final

    Midterm Midterm . Due on Nov 12 (Tuesday) on class. Solutions posted .

    Final Final exam solution . Due on Dec 13, (Friday) 2:00pm (early afternoon). Please directly turn in your solutions to Congjun Wu at MH5430 (If you drop in my mailbox, you need to send me an email for confirmation).







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    Last modified: Jan 7, 2010.