391 citations · 1.8k across the 147 of their papers we have counts for
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Liquid Drop Model for Nuclear Matter in the Low Density Limit
Rupert L. Frank, Mathieu Lewin, Robert Seiringer
We consider the liquid drop model with a positive background density in the thermodynamic limit. We prove a two-term asymptotics for the ground state energy per unit volume in the…
The generalized Wehrl entropy bound in quantitative form
Rupert L. Frank, Fabio Nicola, Paolo Tilli
Lieb and Carlen have shown that mixed states with minimal Wehrl entropy are coherent states. We prove that mixed states with almost minimal Wehrl entropy are almost coherent states…
Weighted CLR type bounds in two dimensions
Rupert L. Frank, Ari Laptev, Larry Read
We derive weighted versions of the Cwikel-Lieb-Rozenblum inequality for the Schrödinger operator in two dimensions with a nontrivial Aharonov-Bohm magnetic field. Our bounds captur…
Sharp inequalities for coherent states and their optimizers
Rupert L. Frank
We are interested in sharp functional inequalities for the coherent state transform related to the Wehrl conjecture and its generalizations. This conjecture was settled by Lieb in…
The Scott conjecture for large Coulomb systems: a review
Rupert L. Frank, Konstantin Merz, Heinz Siedentop
We review some older and more recent results concerning the energy and particle distribution in ground states of heavy Coulomb systems. The reviewed results are asymptotic in natur…
A sharp criterion for zero modes of the Dirac equation
Rupert L. Frank, Michael Loss
It is shown that is a necessary condition for the existence of a nontrivial solution of the Dirac equation $γ\cdot (-i\nabla -A)ψ= 0…