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 (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- 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
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Programme(s)
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Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
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Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Funding Scheme
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Coordinator
93053 REGENSBURG
Germany
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.