• Spectral theory for Schrödinger and Dirac operators (eigenfunction decay, tight-binding limit),
• Scattering theory,
• Quantum transport in mesoscopic systems,
• Thermodynamic behaviour of large quantum systems subjected to external electromagnetic fields,
• Wannier functions.
• I have strong contacts with people doing nanoscience at Aalborg University. For the time being, we are doing quantum mechanics on carbon nanotubes by looking at excitons, trions, biexcitons.