Rupert Frank (Princeton)

Lieb-Thirring inequalities estimate a quantum-mechanical quantity, namely moments of negative eigenvalues of Schrödinger operators, in terms of a semi-classical phase space integral. We review the current knowledge about these inequalities and explain their connection to Sobolev-type inequalities. In particular, we discuss some recent improvements based on Hardy-Sobolev inequalities and their application in the proof of stability of relativistic matter in magnetic fields. |

Thursday, October 30, 2008, 4-5PM, HB 227