Mathematical Analysis of Many-Body Quantum Systems

  • Jensen, Arne (Project Participant)
  • Johnsen, Jon (Project Participant)
  • Cornean, Horia (Project Participant)
  • Møller, Jacob Schach (Project Participant)
  • Skibsted, Erik (Project Participant)
  • Fournais, Søren (Project Participant)
  • Solovej, Jan Philip (Project Participant)
  • Grubb, Gerd (Project Participant)
  • Durhuus, Bergfinnur (Project Participant)
  • Lenzmann, Enno (Project Participant)

Project Details

Description

This project is funded by the Danish Council for Independent Research, Natural Sciences.
The funding, DKK 2,030,400, is shared by researchers from Aalborg University, Aarhus University and University of Copenhagen.
Very brief presentation:
This project has as its ultimate objective a mathematically based analysis of Many-Body Quantum Systems. The aims are two-fold. On one hand we strive to find mathematically precise descriptions of observed physical phenomena, and on the other hand we expect to develop some new (and improve some existing) theoretical and mathematical tools for the analysis of concrete physical systems.
The quantum systems we have in mind range from the atomic scale over the macroscopic scale of everyday objects to the astronomical scale of stars. On the smallest scale we are interested in individual atoms and molecules. On a somewhat larger but still microscopic scale we consider collections such as gases of atoms or other condensed matter systems. On the large scale we study how the underlying quantum nature is important for the structure of macroscopic objects. Finally, on the astronomical scale we address to what extent the stability and structure of cold stars such as white dwarfs or neutron stars is explained from the quantum behavior of their underlying microscopic constituents.
For all these systems we are concerned with their stability, structure, and dynamics.
StatusFinished
Effective start/end date01/01/201231/12/2014

Collaborative partners

  • Aarhus University (Project partner)
  • Mathematical Sciences, University of Copenhagen (Project partner)

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