An extension of Fourier analysis for the n-torus in the magnetic field and its application to spectral analysis of the magnetic Laplacian

DOI10.1063/1.1616203zbMath1062.81037arXivhep-th/0306006OpenAlexW3103708535MaRDI QIDQ4833164

Makoto Sakamoto, Shogo Tanimura

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0306006

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Electromagnetic interaction; quantum electrodynamics (81V10)

Related Items

On quantum mechanics with a magnetic field on \(\mathbb R^n\) and on a torus \(\mathbb T^n\), and their relation, Operator analysis of physical states on magnetized \(T^2 /Z_N\) orbifolds, Noncommutative Bloch analysis of Bochner Laplacians with nonvanishing gauge fields, Classification of three-generation models on magnetized orbifolds

Cites Work

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• Schrödinger operators with magnetic fields. I: General interactions
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• Magnetic translation groups in an n-dimensional torus and their representations
• Spontaneous breaking of the rotational symmetry induced by monopoles in extra dimensions