6 citations · 6 across the 3 of their papers we have counts for
12 papers
Computability of magnetic Schrödinger and Hartree equations on unbounded domains
Simon Becker, Jonathan Sewell, Euan Tebbutt
We study the computability of global solutions to linear Schrödinger equations with magnetic fields and the Hartree equation on . We show that the solution can always…
Computing solutions of Schrödinger equations on unbounded domains- On the brink of numerical algorithms
Simon Becker, Anders Hansen
We address the open problem of determining which classes of time-dependent linear Schrödinger equations and focusing and defocusing cubic and quintic non-linear Schrödinger equatio…
Spectral characterization of magic angles in twisted bilayer graphene
Simon Becker, Mark Embree, Jens Wittsten +1
Twisted bilayer graphene (TBG) has been experimentally observed to exhibit almost flat bands when the twisting occurs at certain magic angles. In this letter, we report new results…
The optimal spectral gap for regular and disordered harmonic networks of oscillators
Simon Becker, Angeliki Menegaki
We consider one-dimensional chains and multi-dimensional networks of harmonic oscillators coupled to two Langevin heat reservoirs at different temperatures. Each particle interacts…
Quantum statistical learning via Quantum Wasserstein natural gradient
Simon Becker, Wuchen Li
In this article, we introduce a new approach towards the statistical learning problem to approximate a targ…
Density of states and Delocalization for discrete magnetic random Schrödinger operators
Simon Becker, Rui Han
We study discrete magnetic random Schrödinger operators on the square and honeycomb lattice. For the non-random magnetic operator on the hexagonal lattice with any rational magneti…