Charge Current Density from the Scattering Matrix
介观与纳米尺度物理
2009-10-31 v1
摘要
A method to derive the charge current density and its quantum mechanical correlation from the scattering matrix is discussed for quantum scattering systems described by a time-dependent Hamiltonian operator. The current density and charge density are expressed with the help of functional derivatives with respect to the vector potential and the electric potential. A condition imposed by the requirement that these local quantities are gauge invariant is considered. Our formulas lead to a direct relation between the local density of states and the total current density at a given energy. To illustrate the results we consider, as an example, a chiral ladder model.
引用
@article{arxiv.cond-mat/0006031,
title = {Charge Current Density from the Scattering Matrix},
author = {Tooru Taniguchi},
journal= {arXiv preprint arXiv:cond-mat/0006031},
year = {2009}
}
备注
4 pages, 1 figure