2 papers
math-ph2001
On the Discrete Spectrum of a Pseudo-Relativistic Two-Body Pair Operator
Semjon Vugalter, Timo Weidl
We prove Cwikel-Lieb-Rosenbljum and Lieb-Thirring type bounds on the discrete spectrum of a two-body pair operator and calculate spectral asymptotics for the eigenvalue moments and…
math-ph1999
Sharp Lieb-Thirring Inequalities in High Dimensions
A. Laptev, T. Weidl
We show how a matrix version of the Buslaev-Faddeev-Zakharov trace formulae for a one-dimensional Schrödinger operator leads to Lieb-Thirring inequalities with sharp constants $L^{…