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.