期刊
COMMUNICATIONS IN MATHEMATICAL PHYSICS
卷 242, 期 3, 页码 547-578出版社
SPRINGER-VERLAG
DOI: 10.1007/s00220-003-0950-1
关键词
-
We consider an electron moving in a periodic potential and subject to an additional slowly varying external electrostatic potential, phi(epsilonx), and vector potential A(epsilonx), with xis an element ofR(d) and epsilonmuch less than1. We prove that associated to an isolated family of Bloch bands there exists an almost invariant subspace of L-2(R-d) and an effective Hamiltonian governing the evolution inside this subspace to all orders in epsilon. To leading order the effective Hamiltonian is given through the Peierls substitution. We explicitly compute the first order correction. From a semiclassical analysis of this effective quantum Hamiltonian we establish the first order correction to the standard semiclassical model of solid state physics.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据