391 citations · 1.8k across the 147 of their papers we have counts for
4 papers · 2 filters
Derivation of an effective evolution equation for a strongly coupled polaron
Rupert L. Frank, Zhou Gang
Fröhlich's polaron Hamiltonian describes an electron coupled to the quantized phonon field of an ionic crystal. We show that in the strong coupling limit the dynamics of the polaro…
Multi-component Ginzburg-Landau theory: microscopic derivation and examples
Rupert L. Frank, Marius Lemm
This paper consists of three parts. In part I, we microscopically derive Ginzburg--Landau (GL) theory from BCS theory for translation-invariant systems in which multiple types of s…
Incompatibility of time-dependent Bogoliubov--de-Gennes and Ginzburg--Landau equations
Rupert L. Frank, Christian Hainzl, Benjamin Schlein +1
We study the time-dependent Bogoliubov--de-Gennes equations for generic translation-invariant fermionic many-body systems. For initial states that are close to thermal equilibrium…
A compactness lemma and its application to the existence of minimizers for the liquid drop model
Rupert L. Frank, Elliott H. Lieb
The ancient Gamow liquid drop model of nuclear energies has had a renewed life as an interesting problem in the calculus of variations: Find a set with given…