School of Physics and Astronomy, University of Minnesota
Physics 8-702, Problem Set 5
distributed: March 3, 2014
due: March 10, 2014
Consider a uid in which, in addition to the center of mass coordinate ri , each
atom also has a quantum degree of freedom
School of Physics and Astronomy, University of Minnesota
Physics 8-702, Problem Set 4 solution
distributed: February 19, 2014
due: February 26, 2014
Find the Landau Ginsburg free energy functional for the q-state Potts using the
Hubbard Stratanovich trans
School of Physics and Astronomy, University of Minnesota
Physics 8-702, Final Examination
May 14,2014
3 hours. No books or papers. There are 3 problems with a total of 14 parts.
Parts with a star are worth 8 points and parts without a star are worth 7 poi
School of Physics and Astronomy, University of Minnesota
Physics 8-702 Spring 2014, Problem Set 10 Solution
This exercise illustrates some special features of system with broken continuous
symmetry which were discussed briey in class, some of which were m
School of Physics and Astronomy, University of Minnesota
Physics 8-702 Spring 2014, Problem Set 8 Solution
Consider the Heisenberg model and 3 lattice dimensions once more
H = (J/2)
Si Si+
i,
where i labels lattice sites and are nearest neighbor vectors.
School of Physics and Astronomy, University of Minnesota
Physics 8-702 Spring 2014, Problem Set 10
This exercise illustrates some special features of system with broken continuous
symmetry which were discussed briey in class, some of which were missed in
School of Physics and Astronomy, University of Minnesota
Physics 8-702 Spring 2014, Problem Set 6 Solution
Consider the Heisenberg model and 3 lattice dimensions
H = (J/2)
Si Si+
i,
where i labels lattice sites and are nearest neighbor vectors.
a Find the
School of Physics and Astronomy, University of Minnesota
Physics 8-702, Problem set 5 solution
Consider a uid in which, in addition to the center of mass coordinate ri , each
atom also has a quantum degree of freedom which can be represented by the discre
School of Physics and Astronomy, University of Minnesota
Physics 8-702 Spring 2014, Problem Set 7
Continuing the case of the Heisenberg model, Suppose that a small magnetic
eld of the form
et z Ho (r), if t < 0;
H(t, r) =
0,
if t 0.
which enters the Hamil
School of Physics and Astronomy, University of Minnesota
Physics 8-702, Problem Set 2
distributed: January 29, 2014
due: February 5, 2014
The hard sphere model for a gas or liquid consisting of hard spheres interacting
through the potential
, r < a;
0, r
School of Physics and Astronomy, University of Minnesota
Physics 8-702, Problem Set 3
distributed: February 12, 2014
due: February 19, 2014
Produce a code to simulate the algorithm to produce realizations of site percolation model on a square lattice in t
School of Physics and Astronomy, University of Minnesota
Physics 8-702 Spring 2014, Problem Set 6
Consider the Heisenberg model and 3 lattice dimensions
H = (J/2)
Si Si+
i,
where i labels lattice sites and are nearest neighbor vectors.
a Find the classica
School of Physics and Astronomy, University of Minnesota
Physics 8-702 Spring 2014, Problem Set 7
Continuing the case of the Heisenberg model, Suppose that a small magnetic
eld of the form
et z Ho (r), if t < 0;
H(t, r) =
0,
if t 0.
which enters the Hamil
School of Physics and Astronomy, University of Minnesota
Physics 8-702, Problem Set 4
distributed: February 19, 2014
due: February 26, 2014
Find the Landau Ginsburg free energy functional for the q-state Potts using the
Hubbard Stratanovich transformation
School of Physics and Astronomy, University of Minnesota
Physics 8-702, Problem Set 2
distributed: January 29, 2014
due: February 5, 2014
The hard sphere model for a gas or liquid consisting of hard spheres interacting
through the potential
v(r) =
, r < a
School of Physics and Astronomy, University of Minnesota
Physics 8-702, Problem Set 1
distributed: January 22, 2014
due: January 29, 2014
The classical hard sphere model for a gas or liquid consists of hard spheres
interacting through the potential
v(r) =
School of Physics and Astronomy, University of Minnesota
Physics 8-702 Spring 2014, Problem Set 8
Consider the Heisenberg model and 3 lattice dimensions once more
H = (J/2)
Si Si+
i,
where i labels lattice sites and are nearest neighbor vectors.
With the
School of Physics and Astronomy, University of Minnesota
Physics 8-702 Spring 2014, Problem Set 9
This refers to equations (10.44) and (10.47) of chapter 10 in which there are
unfortunately a couple of typographical errors: The numerators of the rst two
t
School of Physics and Astronomy, University of Minnesota
Physics 8-702, Problem Set 3
distributed: February 12, 2014
due: February 19, 2014
Produce a code to simulate the algorithm to produce realizations of site percolation model on a square lattice in t
School of Physics and Astronomy, University of Minnesota
Physics 8-702, Problem Set 1
distributed: January 22, 2014
due: January 29, 2014
The classical hard sphere model for a gas or liquid consists of hard spheres
interacting through the potential
v(r) =