Many Body Physics II  621. Spring 1998</TITLE>
<H1> Many Body Physics II  621. Spring 1998</H1>

<H1> Wellcome to the exciting world of Many Body Physics!!! <H1>


<li> <B> Current Exercises</B>
<ul>

   Homework1    
     <a HREF="homework1.pdf"> pdf </a> <a HREF="homework1.ps.gz"> ps.gz </a> 

<u1> Homework2


</ul>
<\p> Syllabus  <a HREF = " syllabus.pdf "> </a> 

<B> Instructor: Gabriel  Kotliar, Room 267 </B>
If you have any enquiries about this course or the homework,
please do not hesitate to contact me via email at : <a HREF = "mailto:kotliar@physics.rutgers.edu"> <I>kotliar@physics.rutgers.edu</I></a>
</ul>

<B> Scope of Course. </B>
</p>

Many body physics, 621, will  be an introduction
to the  study non relativistic systems  containing
a large number of degrees of freedom.
There will be equal enphasis on: a) concepts, b)
general results, c) techniques.


It is an essential  course
for  those students intending to 
study condensed matter phyiscs.  
621  will be a second semester continuation
of 620 (Many Body I).

Will meet in SEC 217, on Tuesdays and Thursdays,
$9:50-11:10 $, {\large starting Tuesday January 19th.
 but there will be no lecture on Thursday
21}.

Many body physics provides the right {\it language}
to describe the results of experimental investigations.
This conceptual part will be stressed throughout the
course and makes it very suitable for students interested
in experimental physics. 


</p>

<li> <B>Texts: </B>
</p>
The official text  will be 
<ul>
<I> ``Many-Particle Physics''</I> by G. Mahan. (Plenum).
</ul>
as in the previous semsester taught by Piers Coleman
so 621 does not requiere extra cash.
Additional references will be provided later, see below. 

Here are some other  good references: 
</p>

<ul> 

Overview
</p>

<ul>

<li><B> Basic Notions in Condensed Matter Physics </B> by P. W. Anderson.
A classic reference.
Excellent discussion of the concepts. 
It also has a fine selection of important reprints at the back. 
</p>


<ul>


<li> <B> ``Methods of Quantum Field Theory in Statistical Physics''</B> by
Abrikosov, Gorkov and Dzyalozinskii. (Dover Paperback)  - Classic
text from the sixties, known usually as AGD.
</p>


<li> <B> ``Greens functions for Solid State Physics''</B> S.Doniach and E. H. Sondheimer.
Frontiers in Physics series no 44. 
</p>

<li> <B> ``Quantum Many Particle Systems''</B> by J. W. Negele and H. Orland.
integrals.
</p>




<li><B> R. Shankar, Rev Mod Phys  66</B> 129 (1994). An amazingly
self-contained review of the renormalization group and functional
integral techniques written by one of the best expositors of condensed
matter physics. 
</p>

<li><B> ``Field Theories of Condensed Matter Physics''</B> by
E. Fradkin. (Frontiers in Physics, Addison Wesley).  Interesting
material on the fractional statistics and the fractional  quantum Hall effect. 
</p>


<li><B> ``Quantum Field Theory in Condensed Matter Physics''</B>
by A. Tsvelik. (Cambridge paper back) Very good for one dimensional systems.
No excercises. 
</p>



<ul>
<li><B>  The Theory of Quantum Liquids by D. Pines and P. Nozieres.</B>
Excellent introduction to Fermi liquid theory that avoids the use of
field theory. 
</p>

<li><B> Statistical Physics, vol II</B> by Lifshitz and Pitaevskii. Pergammon.
Marvellous book on applications of many body physics, mainly to condensed
matter physics. 
</p>

</ul>


<B> Times:  </B>

Will meet in SEC 217, on Tuesdays and Thursdays,
$9:50-11:10 $, <B> starting Tuesday January 19th.
 but there will be no lecture on Thursday
 </B>

</p>

<B>Office hour:</B> 
</p>
Time to be arranged and also by appointment. Tel 445-4331
</p>

<B> Assessment: </B>
</p>
Assessment will be made on the basis of
take home  assignments and homework. 
</p>

<B> Outline</B>

<ul>
<li>
Review of  the basic Greens functions and their  physical content

Approximation techniques, RPA, Hartree Fock, Density Functional   


</p>

<li>
One dimensional systems. Bosonization. Impurity models.

</p>


<li>
Fermi liquid theory, phenomenology and microscopic  foundations.
Renormalization group methods for fermi systems.

</p>

Dynamical Mean Field Methods. Theories of the Mott transition.

</ul>