Abstract: For a uniform magnetic field, we provide a decomposition of operators commuting with the associated magnetic translations. As an application, we rewrite the energy per unit surface for an electronic system with 2d symmetry as a function of the magnetic field intensity. We also investigate the ground state of such a system. Besides, we also derive the Thomas-Fermi-like energy density in 2d and 3d.

[Il seminario si svolgerà all'interno delle attività del progetto PRIN 2022AKRC5P "Interacting Quantum Systems: Topological Phenomena and Effective Theories" finanziato dall’Unione europea – Next Generation EU.]

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