The Quantum-Mechanical Position Operator in Extended Systems

Abstract

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.

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References in corpus (2)

• Exchange-Correlation Hole in Polarized Insulators: Implications for the Microscopic Functional Theory of Dielectrics
• Nonlocality of Kohn-Sham exchange-correlation fields in dielectrics

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