14 citations · 33 across the 7 of their papers we have counts for
9 papers
Asymptotic series for low-energy excitations of the Fröhlich Polaron at strong coupling
Morris Brooks, David Mitrouskas
We consider the confined Fröhlich polaron and establish an asymptotic series for the low-energy eigenvalues in negative powers of the coupling constant. The coefficients of the ser…
Friedrichs Diagrams -- Bosonic and Fermionic
Morris Brooks, Sascha Lill
We give a mathematically precise review of a diagrammatic language introduced by Friedrichs in order to simplify computations with creation and annihilation operator products. In t…
The Fröhlich Polaron at Strong Coupling -- Part II: Energy-Momentum Relation and Effective Mass
Morris Brooks, Robert Seiringer
We study the Fröhlich polaron model in , and prove a lower bound on its ground state energy as a function of the total momentum. The bound is asymptotically sharp at…
Characterisation of gradient flows for a given functional
Morris Brooks, Jan Maas
Let be a vector field and be a co-vector field on a smooth manifold . Does there exist a smooth Riemannian metric on such that ? The main r…
The Fröhlich Polaron at Strong Coupling -- Part I: The Quantum Correction to the Classical Energy
Morris Brooks, Robert Seiringer
We study the Fröhlich polaron model in , and establish the subleading term in the strong coupling asymptotics of its ground state energy, corresponding to the quantum…
Validity of Bogoliubov's approximation for translation-invariant Bose gases
Morris Brooks, Robert Seiringer
We verify Bogoliubov's approximation for translation invariant Bose gases in the mean field regime, i.e. we prove that the ground state energy is given by $E_N=Ne_\mathrm{H}+…
Emergence of Anyons on the Two-Sphere in Molecular Impurities
Morris Brooks, Mikhail Lemeshko, Douglas Lundholm +1
Recently it was shown that anyons on the two-sphere naturally arise from a system of molecular impurities exchanging angular momentum with a many-particle bath (Phys. Rev. Lett. 12…
Molecular Impurities as a Realization of Anyons on the Two-Sphere
Morris Brooks, Mikhail Lemeshko, Douglas Lundholm +1
Studies on experimental realization of two-dimensional anyons in terms of quasiparticles have been restricted, so far, to only anyons on the plane. It is known, however, that the g…
Sharp Tunneling Estimates for a Double-Well Model in Infinite Dimension
Morris Brooks, Giacomo Di Gesù
We consider the stochastic quantization of a quartic double-well energy functional in the semiclassical regime and derive optimal asymptotics for the exponentially small splitting…