PHYSICS 216 Special Topics In Many-body Physics Berkeley

Physics 212: Statistical mechanics II, Fall 2006 Lecture VII Our first picture of Brownian motion will be as a stochastic (i.e., random) process. A heavy particle in a fluid undergoes random forces as a result of collisions with the light particles o

Physics 212: Statistical mechanics II, Fall 2005 Midterm: ends 11 a.m., Thursday, 11/10/05 Directions: The allotted time is 80 minutes. The 5 problems count equally. No books or notes are allowed, and please ask for help only if a question\'s meaning

Physics 137B, Fall 2007, Moore Problem Set 4 Solutions 1. We start with Eq. (8.10) in Bransden: (1) (0) (1) (1) (0) H0 n + H n (0) = En n + En n . In Dirac ket notation this reads (1) (0) (0) (1) (1) (0) H0 |n + H |n = En |n + En |n . If we hit th

Physics 212: Statistical mechanics II, Fall 2006 Problem set 2: due on Thursday 9/28/05, based on lectures IV-VIII 1. A quick numerical problem: Suppose that a sphere of radius 1 mm moves at 1 mm/sec through a monatomic helium gas at room temperatur

Physics 216: Special topics in many-body physics, Spring 2003: http:/socrates.berkeley.edu/ jemoore/phys216.html Lecture XX In the last lecture we started to set up the imaginary-time path integral for calculating correlations in spin systems. From t

Physics 212: Statistical mechanics II, Fall 2006 Problem set 6: due Tuesday, 12/5/06 NO CREDIT can be given if turned in after Thursday 12/7/06 1. Find the exponent for random walks in two dimensions on the square lattice. In the notes we showed =

Physics 212: Statistical mechanics II, Fall 2006 Lecture XVI The Ising model that has been considered in most of the lectures so far has a discrete degree of freedom on each site (the spin is either up or down), or in other words, a discrete order pa