PH307 (Quantum Mechanics and Relativity) Spring 2005
Scott Heinekamp (scotth@wells.edu) Zabriskie 203 ext 3361
(http://aurora.wells.edu/~swh/)

Course Content
This is an advanced course in Physics, often abstract and heavily mathematical. The mathematics will never obscure the important physics that we uncover. The pair of subjects in the course's name are the twin pillars of modern theoretical physics. Using Tipler & Llewellyn's Modern Physics (4th edition) (abbreviated T&L), we begin with Einstein's theory of special relativity, in which space and time are intermingled in most peculiar ways. The meanings of energy and momentum are also transformed. We will not do his general theory of relativity.

Then, with Griffiths's Quantum Mechanics (2th edition) (abbreviated G), we'll take on a much more mathematical handling of what was introduced in PHYS302 (Modern Physics). Quantum Mechanics is a very big subject -- we will tackle some of it, working through a good fraction of the text. We omit some of the approximation methods toward the end. Along the way you'll recall a lot of modern physics, and T&L's text will serve as a very useful reference as well.

Lecture Schedule
Week One (week of Aug 29)
T&L Ch 1-1 Space and time. Events. Frames of reference. Michaelson-Morley experiment.
Week Two (week of Sept 5)
T&L Ch 1-2,3,4 Einstein's postulates. Lorentz transformations. Time dilation and length contraction.
Week Three (week of Sept 12)
T&L Ch 1-5,6 Various applications and paradoxes in the special theory of relativity
T&L Ch 2-1 Relativistic acceleration and momentum.
Week Four (week of Sept 19)
T&L Ch 2-2,3,4 Relativistic energy
Exam 1
Week Five (week of Sept 26)
G Ch 1 The TDSE and the content of the wavefunction.
G Ch 2.1,2 The TISE. Stationary states. Infinite square well.
Week Six (week of Oct 3)
G Ch 2.3,4 Harmonic oscillator and finite square well potentials. The free particle.
Week Seven (week of Oct 10)
G Ch 2.5 The Dirac delta function potential. Scattering.
G Ch 3.1 Function spaces.
Week Eight (week of Oct 17)
G Ch 3.2,3,4,5,6 Formal quantum mechanics. The uncertainty principle. Dirac's notation.
Week Nine (week of Oct 24)
Exam 2
G G Ch 4.3 Orbital angular momentum.
Week Ten (week of Oct 31)
G Ch 4.4 Spin angular momentum. Addition of angular momenta.
Week Eleven (week of Nov 7)
G Ch Ch 5.1,2 Identical particles. Atoms.
Week Twelve (week of Nov 14)
G Ch Ch 6.1,2 Time-independent perturbation theory.
Week Thirteen (week of Nov 28)
G Ch 7.1,3 The variational principle. The hydrogen molecule.
Week Fourteen (week of Dec 5)
Exam 3

Grading in this course
Homework/class participation (30%):
The set of homework assignments may be found at Homework Assignment.
Tests (50%): 3 of them, 20% each except that the lowest score is weighted 10%
Final Exam (20%): only factored in if it raises your average
This syllabus (web address http://aurora.wells.edu/~swh/ph307/ph307syl.htm), is the course's home page.