Magnetic translation groups in n dimensions
نویسنده
چکیده
Magnetic translation groups are considered as central extensions of the translation group T ≃ ZZ by the group of factors (a gauge group) U(1). The obtained general formulae allow to consider a magnetic field as an antisymmetric tensor (of rank 2) and factor systems are determined by a transvection of this tensor with a tensor product t⊗ t.
منابع مشابه
Magnetic Translation Groups on an n-dimensional Torus and Their Representations
A charged particle in a uniform magnetic field in a two-dimensional torus has a discrete noncommutative translation symmetry instead of a continuous commutative translation symmetry. We study topology and symmetry of a particle in a magnetic field in a torus of arbitrary dimensions. The magnetic translation group (MTG) is defined as a group of translations that leave the gauge field invariant. ...
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A charged particle in a uniform magnetic field in a two-dimensional torus has a discrete noncommutative translation symmetry instead of a continuous commutative translation symmetry. We study topology and symmetry of a particle in a magnetic field in a torus of arbitrary dimensions. The magnetic translation group (MTG) is defined as a group of translations that leave the gauge field invariant. ...
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تاریخ انتشار 2008