Physics 217bc: The Standard Model - Cosmology.
This is the second half of a full-year course in the Standard Model of elementary particle physics and cosmology. The first half of the course is taught by Mark Wise and covers particle physics.
The second half will cover cosmology and is taught by Chris Hirata.
The two halves of the course may be taken separately.
The cosmology part of the course covers the standard cosmological model including both the homogeneous Univese and perturbation theory, and the major
Location: 269 Lauristen, Tuesdays and Thursdays at 2:30-4:00 PM. The first lecture of the cosmology segment is Tuesday, February 5.
NO CLASS THURSDAY MAY 8 AND TUESDAY MAY 14.
We will resume at the regular time on Thursday, May 16.
Instructor: Chris Hirata, 128 Bridge, email@example.com
TA: Jie Yang, 441 Lauritsen, firstname.lastname@example.org; Office hours Tuesday 8-10pm.
Textbook: Modern Cosmology by Scott Dodelson (2003). (The book's homepage is here.)
Prerequisites: The cosmology portion of the course will require knowledge of standard undergraduate physics (mechanics, electrodynamics, quantum
mechanics, and thermodynamics) and general relativity. The GR used will be at the level of e.g. Schutz. Students taking the Ph 236 sequence
concurrently should be well prepared.
No prior knowledge of quantum field theory is required. The course will not assume any prior coursework in astronomy or cosmology.
Homework: There will be 4 homework sets during the b term. (Homework #5 is cancelled.)
Homeworks for the c term:
- Homework #1 [PS||PDF] due Thurs 02/21/08 (note change).
- Homework #2 [PS||PDF] due Thurs 02/28/08.
- Homework #3 [PS||PDF] due Thurs 03/06/08.
- Homework #4 [PS||PDF] due Thurs 03/13/08 (note update -- factor
of 4 in Problem #2).
- Homework #1 [PS||PDF] due Thurs 04/10/08.
- Homework #2 [PS||PDF] due Thurs 04/17/08.
- Homework #3 [PS||PDF] due Thurs 04/24/08.
- Homework #4 [PS||PDF] due Thurs 05/01/08.
- Homework #5 [PS||PDF] due Thurs 05/15/08.
- Homework #6 [PS||PDF] due Thurs 05/29/08.
Topics: In general, the winter term will cover homogeneous Universe topics and the spring term will focus on the inhomogeneities and
perturbations in the Universe. Due to the number of lectures in each term we may start perturbation theory during the last week of winter term. I
will try to introduce each cosmological test as soon as we have developed the required machinery. Note that some topics will be covered in more detail
than in Dodelson, while others will receive less attention or even be omitted (this breaks my heart but we can't do everything in 1.5 terms). Some
topics may be added or deleted due to time constraint and/or class input.
Click on each topic for lecture notes.
- Friedmann-Robertson-Walker universe; Friedmann equation. [PS||PDF]
- Expansion history; luminosity and angular diameter distances; conformal time. [PS||PDF]
- Standard candles and rulers. [PS||PDF]
- Relativistic degrees of freedom and neutrino background. [PS||PDF]
- Big-Bang nucleosynthesis. [PS||PDF]
- Recombination. [PS||PDF]
- Pertrubed metric and Boltzmann equation for photons - real space. [PS||PDF]
- Boltzmann equation for photons - Fourier and multipole space. Neutrino, baryon, and dark matter perturbations.
- Einstein equations and gauge transformations.
- Initial conditions; adiabatic vs. isocurvature modes.
- Statistical description of inhomogeneities; power spectrum and correlation function.
Generation of perturbations in inflation.
- Matter power spectrum.
- CMB power spectrum.
- CMB polarization.
Beyond perturbation theory:
- Galaxy surveys: power spectrum, shape parameter, redshift space distortions, baryon oscillations; weak lensing.
- Press-Schechter theory and cluster abundance.
- Lyman-alpha forest.