35 citations · 94 across the 7 of their papers we have counts for
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math.AP2017
Dispersive Lamb Systems
Peter Olver, Natalie Sheils
Under periodic boundary conditions, a one-dimensional dispersive medium driven by a Lamb oscillator exhibits a smooth response when the dispersion relation is asymptotically linear…
math.AP2017
The time-dependent Schrödinger equation with piecewise constant potentials
Natalie E Sheils, Bernard Deconinck
The linear Schrödinger equation with piecewise constant potential in one spatial dimension is a well-studied textbook problem. It is one of only a few solvable models in quantum me…