99 citations · 575 across the 22 of their papers we have counts for
5 papers · 1 filter
Hardy-Lieb-Thirring inequalities for fractional Schroedinger operators
Rupert L. Frank, Elliott H. Lieb, Robert Seiringer
We show that the Lieb-Thirring inequalities on moments of negative eigenvalues of Schroedinger-like operators remain true, with possibly different constants, when the critical Hard…
The Mathematics of the Bose Gas and its Condensation
Elliott H. Lieb, Robert Seiringer, Jan Philip Solovej +1
This book surveys results about the quantum mechanical many-body problem of the Bose gas that have been obtained by the authors over the last seven years. These topics are relevant…
Bose-Einstein Condensation and Spontaneous Symmetry Breaking
Elliott H. Lieb, Robert Seiringer, Jakob Yngvason
After recalling briefly the connection between spontaneous symmetry breaking and off-diagonal long range order for models of magnets a general proof of spontaneous breaking of gaug…
Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials
Rupert L. Frank, Ari Laptev, Elliott H. Lieb +1
Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Schrödinger operator with a complex-valued potential.
A Correlation Estimate for Quantum Many-Body Systems at Positive Temperature
Robert Seiringer
We present an inequality that gives a lower bound on the expectation value of certain two-body interaction potentials in a general state on Fock space in terms of the corresponding…