Publications [#243776] of Jianfeng Lu

Papers Published

1. E, W; Lu, J, The Elastic Continuum Limit of the Tight Binding Model*, Chinese Annals of Mathematics, Series B, vol. 28 no. 6 (December, 2007), pp. 665-676, Springer Science and Business Media LLC, ISSN 0252-9599 [doi]
   (last updated on 2026/01/18)

   Abstract:
   The authors consider the simplest quantum mechanics model of solids, the tight binding model, and prove that in the continuum limit, the energy of tight binding model converges to that of the continuum elasticity model obtained using Cauchy-Born rule. The technique in this paper is based mainly on spectral perturbation theory for large matrices. © 2007 The Editorial Office of CAM and Springer-Verlag Berlin Heidelberg.