

Krzysztof Byczuk (Augsburg, Germany) 
Dynamical meanfield theory for correlated and disordered electrons 

Summary 
The dynamical meanfield theory is a mathematical method to
investigate electrons on a lattice in the presence of local
interactions and/or local disorder. It is an exact solution of
corresponding problems in the infinite dimension (coordination
number). In the case of finite dimensional systems it can be
used as an approximate but controlled solution. The meanfield theory
is particularly useful whenever local timedependent correlations
determine the physics and space correlations can be omitted or treated
later by a perturbation theory. In the present set of lectures I will:
1. present general introduction into the dynamical meanfield theory;
2. present explicit derivation of the meanfield equations and discuss
how to solve them;
3. present selected intermediate coupling problems, which were solved
rigorously by the dynamical meanfield theory;
4. present the application of the dynamical meanfield theory for
systems with random disorder;
5. present general outlook on various applications of the dynamical
meanfield theory in condensed matter physics.



Oleg Derzhko (Lviv, Ukraine) 


Michael R. Geller (Athens, GA, USA) 
Quantum gate design: From superconducting circuits to nanoelectromechanical systems 

Summary 
I will discuss methods we are developing for the design of quantum
computing architectures based on superconducting circuits coupled to
electromagnetic or nanoelectromechanical resonators, architectures
which are currently being pursued experimentally at UC Santa Barbara.
The methods allow one to theoretically determine the actual computational
power of a proposed quantum computing architecture and to design and
optimize real quantum gates and algorithm implementations. After an
introduction to quantum electrical circuits and quantum
nanoelectromechanical
systems, the gate design methods will be used to develop quantum memory
elements and controlledNOT logic for the Santa Barbara architectures.



Pawel Hawrylak (Ottawa, Canada) 
Quantum dotsLaboratory for correlated electron systems 

Summary 



Bengt Lundqvist (Göteborg, Sweden) 
DensityFunctional Theory of Dense and Sparse Matter 

Summary 
This review of the densityfunctional theory (DFT) first reminds ourselves
about the basis of DFT. Particular focus is on the exchangecorrelation
energy, the socalled adiabaticconnection formula for it, and on some
approximations for it, the localdensity approximation (LDA), the
generalgradient approximation (GGA), and a recently developed density
functional for sparse matter (vdWDF), i.e. one that accounts for van der
Waals (vdW) forces. Then some examples of applications on dense and sparse
matter are brought up from the author's experience. The wellknown
applicability of DFT with GGA for dense systems is illustrated on bulk and
surface properties of materials in hard tools, like TiC, TiN, and Al2O3.
Applications to sparse systems, like graphite, benzene adsorption on
graphite, and DNA base pairs, show the vdWDF functional to be promising.
Finally, an attempt is made to assess the value and the limitations of the
DFT. 
Lecture Notes 


Pawel Machnikowski (Wroclaw, Poland) 


Jacek A. Majewski (Warsaw, Poland) 


Vladimir Andreevich Osipov (Dubna, Russia) 
Physics of carbon nanostructures 

Summary 
Carbon is a prominent element that appears in various
structures with new promising technological applications.
The physics of carbon nanostructures is one of the hot topics in
modern condensed matter theory. I plan to present
a brief introduction into the theory of variously shaped
carbon nanostructures paying special attention to generic
fieldtheory models. The preliminary plan is the following:
(1) a brief historical excursus, (2) the most interesting experimental
observations,
(3) generic models for the description of electronic states in carbon
nanoparticles
(Diractype equations, defects, geometry, etc.), (4) open problems.



Ronald Redmer (Rostock, Germany) 


Johannes Richter (Magdeburg, Germany) 


Manuel Richter (Dresden, Germany) 



B. Sriram Shastry (UCSC, Ca, USA) 



Tomasz Story (Warsaw, Poland) 
