The Quantum-Mechanical Position Operator in Extended Systems
材料科学
2009-10-30 v1 强关联电子
量子物理
摘要
The position operator (defined within the Schroedinger representation in the standard way) becomes meaningless when periodic boundary conditions are adopted for the wavefunction, as usual in condensed matter physics. We show how to define the position expectation value by means of a simple many-body operator acting on the wavefunction of the extended system. The relationships of the present findings to the Berry-phase theory of polarization are discussed.
引用
@article{arxiv.cond-mat/9709306,
title = {The Quantum-Mechanical Position Operator in Extended Systems},
author = {R. Resta},
journal= {arXiv preprint arXiv:cond-mat/9709306},
year = {2009}
}
备注
Four pages in RevTeX