PHYSICS DEPARTMENT, PRINCETON UNIVERSITY
PHYSICS 301 MIDTERM EXAMINATION
October 22, 2003, 10:0010:50 am, Jadwin A06
This exam contains two problems. Work both problems. The problems count equally although one might be harder than the other. Do all the wo
Physics 301
06-Oct-2003 11-1
Reading This week we'll work on chemical potential and the Gibbs distribution which is covered in K&K chapter 5.
Parting Shot on Oscillators Before we get to the main part of this week's material, let's have a quick recap on o
Homework 1 Solutions
Problem 1
Suppose our system consists of N chairs and K distinguishable students
(where we assume N K). Our system has g(N, K) possible states given by:
g(N, K)
= (number of ways of picking K chairs)
(number of ways of arranging stud
arXiv:astro-ph/9212002v1 10 Dec 1992
.
UM AC 92-6
December 1992
Structure in a Loitering Universe
Hume A. Feldman and August E. Evrard
Physics Department University of Michigan Ann Arbor, MI 48109
We study the formation of structure for a universe that un
Two Populations and Models of Gamma Ray Bursts
J. I. Katz
Department of Physics and McDonnell Center for the Space Sciences
arXiv:astro-ph/9212006v1 31 Dec 1992
Washington U., St. Louis, Mo. 63130
Abstract
Gamma-ray burst statistics are best explained by
arXiv:hep-th/9212049v1 8 Dec 1992
UPR-541T
CHALLENGES FOR SUPERSTRING COSMOLOGY
Ram Brustein and Paul J. Steinhardt
Department of Physics,
University of Pennsylvania, Philadelphia, PA 19104
ABSTRACT
We consider whether current notions about superstring th
ADP-92-198/M13
The Coherent State Representation of Quantum
Fluctuations in the Early Universe
arXiv:gr-qc/9212008v2 4 Aug 1993
A L Matacz
Department of Physics and Mathematical Physics, University of Adelaide
GPO Box 498, Adelaide, South Australia 5001
(
arXiv:hep-ph/9212262v1 14 Dec 1992
SUMMARY TALK: INTERNATIONAL SYMPOSIUM ON NEUTRINO
ASTROPHYSICS, TAKAYAMA/KAMIOKA (10/92)
John BAHCALL
Institute for Advanced Study
Princeton, New Jersey 0854
USA
Contents
1. The Conference
2. Solar Neutrinos
A. Operating
arXiv:hep-ph/9212228v1 7 Dec 1992
On the Statistics of CMB Fluctuations
Induced by Topological Defects
Leandros Perivolaropoulos
Abstract
We use the analytical model recently introduced in Ref. [1], to
investigate the statistics of temperature fluctuation
CERN-TH.6721/92
ACT-22/92
CTP-TAMU-75/92
UMN-TH-1117/92
FLIPPED HEAVY NEUTRINOS:
FROM THE SOLAR NEUTRINO PROBLEM TO BARYOGENESIS
arXiv:hep-ph/9211325v1 27 Nov 1992
John Ellis
Theoretical Physics Division, CERN
CH - 1211 Geneva 23
and
D.V. Nanopoulos
Cente
UU-HEP-92/11
astro-ph@xxx:9212005
November 28, 1992
The escape of gravitational radiation
arXiv:astro-ph/9212005v1 23 Dec 1992
from the field of massive bodies
Richard H. Price and Jorge Pullin
Department of Physics, University of Utah, Salt Lake City UT
SO(10) COSMIC STRINGS AND
BARYON NUMBER VIOLATION
Chung-Pei Ma
Center for Theoretical Physics
arXiv:hep-ph/9211206v1 2 Nov 1992
Laboratory for Nuclear Science and Department of Physics
Massachusetts Institute of Technology
Cambridge, Massachusetts 02139 U
Physics 301 Reading K&K chapter 6 and the rst half of chapter 7 (the Fermi gas).
13-Oct-2003 14-1
The Ideal Gas Again Using the grand partition function, weve discussed the Fermi-Dirac and Bose-Einstein distributions and their classicallow occupancylimit,
Physics 301
Homework No. 3
Due 07-Oct-2003
H3-1
1. We can consider blackbody radiation as a gas of photons. Lets calculate the pressure in several ways. (a) As noted in lecture, a photon of frequency carries energy h and momentum h/c. So we have a momentu
Physics 301
Homework No. 1
Due 23-Sep-2003
H1-1
1. Consider a system in which the particles are Physics 301 students conned to room A06.
Suppose the particles have no kinetic energy so they occupy chairs in the room and there
is no interaction energy so t
Physics 301
Homework No. 2
Due 30-Sep-2003
H2-1
1. In lecture, we discussed the Maxwell velocity distribution for a low density gas, p(v) dv = 4 1 2 /m
3 2
2 emv /2 v 2 dv .
(a) Determine the most probable speed (the speed at which the probability density
Physics 301 Examples of Zint
15-Oct-2003 15-1
We have been discussing how to modify our treatment to allow for the internal states and energies of molecules in, for example, an ideal gas To make further progress, we need to consider some specic examples o
Physics 301 Reading This week, you should read the rst two chapters of K&K.
15-Sep-2003 2-1
Entropy and the Number of States As we discussed last time, in the statistical view, entropy is related to the number of microstates of a system. In particular, th
Physics 301 Entropy and Probabilities
24-Sep-2003 6-1
Weve been using the idea that the entropy is the logarithm of the number of states accessible to the system. Weve also said that each state is equally likely. At this point, Id like to make the connect
Physics 301 Reading
22-Sep-2003 5-1
K&K, Chapter 3. Also, for a little culture, there is a handout which is a one page article from Science, 1997, G. Bertsch, vol. 277, p. 1619. It describes melting in clusters consisting of 139 atoms! So 1/ N 10%, quite
Physics 301 ExampleA Spin System
19-Sep-2003 4-1
In the last lecture, we discussed the binomial distribution. Now, I would like to add a little physical content by considering a spin system. Actually this will be a model for a paramagnetic material. This
Physics 301 Introduction
12-Sep-2003 1-1
In this course we will cover selected topics in thermodynamics and statistical mechanics. Since we only have twelve weeks, the selection is necessarily limited. You will probably need to take a graduate course in t
Physics 301 Pressure
17-Sep-2003 3-1
Last lecture, we considered two systems with entropy as a function of internal energy, volume and number of particles, (U, V, N, U1 , V1 , N1 ) = 1 (U1 , V1 , N1 ) + 2 (U2 , V2 , N2 ) . We allowed them to exchange inte
Physics 301 The Gibbs Factor
08-Oct-2003 12-1
In lecture 5, we divided up a large object into a system and a heat reservoir and we considered what happens when the system and reservoir exchange energy. This led us to the Boltzmann factor and the partition
Physics 301 Johnson Noise
03-Oct-2003 10-1
This is another application of the thermal equilibrium of electromagnetic modes. Consider an ideal transmission line, like a long piece of lossless coaxial cable. Suppose its length is L and suppose it is shorted
Physics 301
Homework No. 4
Due 14-Oct-2003
H4-1
1. Before Debye's theory of lattice vibrations, there was Einstein's theory. We will explore Einstein's theory in this problem. Assume that you have a solid consisting of N atoms. Assume each atom is a 3D ha
arXiv:hep-ph/9211201v1 2 Nov 1992
October 1992
UM-TH-92-26
hep-ph/9211201
On the COBE Discovery - For Pedestrians1
Leszek Roszkowski2
Randall Physics Laboratory,
University of Michigan,
Ann Arbor, MI 48109-1129, USA
Abstract
A recent discovery by the COBE