 Magnetic translation

For a lattice vector $r$,acts in the symmetric gauge asIt commutes with $(p-eA{)}^2/(2m)+V(x)$ when $V(x+r)=V(x)$.

Magnetic translation is a concept from the field of condensed matter physics, particularly in the study of magnetic materials and their properties. It refers to a type of symmetry operation that combines the translations of a system with the effects of a magnetic field. This concept is particularly relevant when discussing systems that exhibit magnetic order, such as antiferromagnets or ferromagnets.