Quantum-mechanical position operator in extended systems

被引：508

作者：

Resta, R

机构：

[1] Univ Trieste, Dipartimento Fis Teor, INFM, I-34014 Trieste, Italy

[2] Catholic Univ Amer, Dept Phys, Washington, DC 20064 USA

来源：

PHYSICAL REVIEW LETTERS | 1998年 / 80卷 / 09期

关键词：

D O I：

10.1103/PhysRevLett.80.1800

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The position operator (defined within the Schrodinger representation in the standard way) becomes meaningless when periodic boundary conditions are adopted for the wave function, as usual in condensed matter physics. I show how to define the position expectation value by means of a simple many-body operator acting on the wave function of the extended system. The relationships of the present findings to the Berry-phase theory of polarization are discussed.

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页码：1800 / 1803

页数：4

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