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.
Original language | English (US) |
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Pages (from-to) | 665-676 |
Number of pages | 12 |
Journal | Chinese Annals of Mathematics. Series B |
Volume | 28 |
Issue number | 6 |
DOIs | |
State | Published - Dec 2007 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics
Keywords
- Cauchy-born rule
- Continuum limit
- Elasticity theory
- Tight binding model