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math-ph1998
Continuity properties of Schrödinger semigroups with magnetic fields
Kurt Broderix, Dirk Hundertmark, Hajo Leschke
The objects of the present study are one-parameter semigroups generated by Schrödinger operators with fairly general electromagnetic potentials. More precisely, we allow scalar pot…
math-ph1998★ 1 cited
A sharp bound for an eigenvalue moment of the one-dimensional Schroedinger operator
Dirk Hundertmark, Elliott H. Lieb, Lawrence E. Thomas
We give a proof of the Lieb-Thirring inequality in the critical case , , which yields the best possible constant.