Pairs of Bloch electrons and magnetic translation groups

TL;DR

This paper explores the use of certain irreducible representations of magnetic translation groups, including previously rejected ones, to better understand pairs of electrons in magnetic fields and periodic potentials.

Contribution

It introduces a new perspective on magnetic translation group representations, highlighting their relevance in describing electron pairs in magnetic and periodic environments.

Findings

Reveals previously rejected irreducible representations as physically relevant.

Demonstrates applications to electron pairs in magnetic fields.

Discusses periodicity of properties with respect to particle charge.

Abstract

A product of irreducible representations of magnetic translation group is considered. It leads to irreducible representations which were previously rejected as nonphysical. A very simple example indicates a possible application of these representations. In particular, they are important in descriptions of pairs of electrons in a magnetic field and a periodic potential. The periodicity of some properties with respect to the charge of a particle is briefly discussed.