Mathematical Challenges in the BCS Theory of Superconductivity (A06)

• Subject Area: Mathematics
• Term: since 2023
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 470903074

Within this project, we attempt on the one hand to understand whether there is a regime in which the microscopic BCS model can be rigorously derived from an underlying quantum many-body system. On the other hand, we will study the relation between the microscopic BCS and the macroscopic GL model, including a self-generated magnetic field. Furthermore, the question arises, which boundary conditions emerge on the macroscopic scale.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 352: Mathematics of Many-Body Quantum Systems and Their Collective Phenomena
• International Connection: Austria
• Applicant Institution: Ludwig-Maximilians-Universität München
• Project Heads: Professor Dr. Rupert Frank; Professor Dr. Christian Hainzl; Professor Dr. Robert Seiringer