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math.AP2015
Bloch dynamics with second order Berry phase correction
Jianfeng Lu, Zihang Zhang, Zhennan Zhou
We derive the semiclassical Bloch dynamics with the second-order Berry phase correction in the presence of the slow-varying scalar potential as perturbation. Our mathematical deriv…
math.AP2015★ 11 cited
An isoperimetric problem with Coulomb repulsion and attraction to a background nucleus
Jianfeng Lu, Felix Otto
We study an isoperimetric problem the energy of which contains the perimeter of a set, Coulomb repulsion of the set with itself, and attraction of the set to a background nucleus a…