# Research Interests

Dr. Hans Lustfeld

**1. Problems of fuel cells and batteries:**

At present I am working on problems of fuel cells and batteries,

in particular on problems of tomographic diagnostics. Since in

these devices the electric current density is high, magnetotomography

seems to be the appropriate method for diagnostics.

(Cooperation between PGI-1, FH-Aachen, JSC and IEK-3, PGI-8)

Quantum mechanical problems of fuel cells:

I am interested in the quantum mechanical aspects of finding good

electrolytes and catalysts. Without a better fundamental understanding

of the electrolytes and catalysts fuel cells will remain in the

present status, i.e. will remain a niche product.

**2. Problems of energy storage using supercaps:**

Supercaps have huge dielectric constants and the question arises,

whether or not such devices are appropriate for storing energy.

I am interested in particular in electrolytes of metallic composites.

(Cooperation between PGI-1, FH-Aachen and PGI-7)

**3. Work on problems of electronic correlation:**

Correlations in electron systems arise from the Coulomb interaction

and from the Pauli principle and are essential to the development

of approximations in density-functional theory (DFT).

Dynamical correlations, in particular, are important for time dependent

DFT. Together with K. Sturm (PGI-1) these are studied using an enhanced

class of diagrams beyond RPA.

Poster:

**4. Problems of an interdisciplinary nature:**

I am interested in problems, where mathematical tools and

ideas, well known in solid state physics can be applied. This happens

in particular in problems of the geosphere.

**Lectures:**

The aim in my lectures at the University of Duisburg-Essen

is, to show students that fundamental research can be very close

to applications. Examples are problems occuring in fuel cells.

In particular quantum mechanical investigations of electrolytes

can have a great technological impact. At present my lectures

concentrate on DFT methods and the physics of transport.