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math-ph2021★ 10 cited
On Bose-Einstein condensates in the Thomas-Fermi regime
Daniele Dimonte, Emanuela L. Giacomelli
We study a system of trapped bosons in the Thomas-Fermi regime with an interacting pair potential of the form , for some and d…
math-ph2021
A 3D-Schroedinger operator under magnetic steps with semiclassical applications
Wafaa Assaad, Emanuela L. Giacomelli
We define a Schrödinger operator on the half-space with a discontinuous magnetic field having a piecewise-constant strength and a uniform direction. Motivated by applications in th…