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Publications [#243746] of Jianfeng Lu
Papers Published
- Lu, J-F; Yang, X, Asymptotic analysis of quantum dynamics in crystals: the Bloch-Wigner transform, Bloch dynamics and Berry phase,
Acta Mathematicae Applicatae Sinica, English Series, vol. 29 no. 3
(July, 2013),
pp. 465-476, ISSN 0168-9673 [doi]
(last updated on 2024/03/28)
Abstract: We study the semi-classical limit of the Schrödinger equation in a crystal in the presence of an external potential and magnetic field. We first introduce the Bloch-Wigner transform and derive the asymptotic equations governing this transform in the semi-classical setting. For the second part, we focus on the appearance of the Berry curvature terms in the asymptotic equations. These terms play a crucial role in many important physical phenomena such as the quantum Hall effect. We give a simple derivation of these terms in different settings using asymptotic analysis. © 2013 Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.
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