2 citations · 7 across the 10 of their papers we have counts for
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Weyl's law for Neumann Schrödinger operators on Hölder domains
Charlotte Dietze
We review recent results on the semiclassical behaviour of Schrödinger operators with Neumann boundary conditions. In this setting, the validity of Weyl's law requires additional c…
Focusing dynamics of 2D Bose gases in the instability regime
Lea Boßmann, Charlotte Dietze, Phan Thành Nam
We consider the dynamics of a 2D Bose gas with an interaction potential of the form for . The interaction may be chosen to be negative and large…
Semiclassical estimates for Schrödinger operators with Neumann boundary conditions on Hölder domains
Charlotte Dietze
We prove a universal bound for the number of negative eigenvalues of Schrödinger operators with Neumann boundary conditions on bounded Hölder domains, under suitable assumptions on…
Uniform in Time Convergence to Bose-Einstein Condensation for a Weakly Interacting Bose Gas with an External Potential
Charlotte Dietze, Jinyeop Lee
We consider a gas of weakly interacting bosons in three dimensions subject to an external potential in the mean field regime. Assuming that the initial state of our system is a pro…
Dispersive Estimates for Nonlinear Schrödinger Equations with External Potentials
Charlotte Dietze
We consider the long time dynamics of nonlinear Schrödinger equations with an external potential. More precisely, we look at Hartree type equations in three or higher dimensions wi…