Postdoctoral training program in partial differential equations and applications in quantum mechanics

Objective

The overall objective is to develop analytical tools---mainly from the theory of partial differential equations---suitable for the description of large quantum mechanical systems with singular (Coulomb) interaction. The overall objective can be broken up into six parts which relate to the following six work packages:
1. Desingularization of Singular Partial Differential Operators 2. Description of Ground State Properties of Complex Atoms and Molec. 3. Relation Between the Thermodynamic and Semi-Classical Limit 4. Pointwise Behavior of Eigenfunctions
5. Non-Asymptotic Eigenvalue Estimates
6. Stability of Relativistic Quantum Systems
The problems related to these topics are motivated by concrete questions from physics and concretely defined but aim at a development of ---microlocal---analysis for singular pseudo-differential operators. The network will provide training for six postdoctoral scientists in the area of analysis / partial differential operators/ mathematical physics. The problems being clearly defined and motivated by concrete applications, the proposed work is in particular suitable for young scientist who have, however, a solid background in analysis. Since most of the research work packages require the cooperation of two or more teams the young researchers will be able to draw from the scientific capacities of more than one team.

Fields of science

• natural sciences › physical sciences › quantum physics
• natural sciences › mathematics › applied mathematics › mathematical physics
• natural sciences › mathematics › pure mathematics › mathematical analysis › differential equations › partial differential equations

Programme(s)

• FP4-TMR - Specific research and technological development programme in the field of the training and mobility of researchers, 1994-1998

Topic(s)

• 01 - NETWORKS

Call for proposal

Data not available

Funding Scheme

Data not available

Coordinator

UNIVERSITAET REGENSBURG

Address

Universitaetsstrasse 31
93053 Regensburg
Germany

Participants (5)

TECHNISCHE UNIVERSITAET BERLIN

Germany

Address

Straße Der 17. Juni 136
10623 Berlin

UNIVERSITY OF WALES CARDIFF

United Kingdom

Address

Senghennydd Road
CF24 4YH Cardiff

Université de Paris-Sud XI

France

Address

91405 425 Orsay

VEREIN INTERNATIONALES ERWIN SCHROEDINGER INSTITUT FUER MATHEMATISCHE PHYSIK E .V.

Austria

Address

6/7,boltzmanngasse 9
1090 Wien

Århus Universitet

Denmark

Address

1,nordre Ringade
8000 Århus C