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arXiv · 1304.2496

The Peierls-Onsager Effective Hamiltonian in a complete gauge covariant setting: Description of the spectrum

Viorel Iftimie·Radu Purice
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Abstract

Using the procedures in \cite{Bu} and \cite{GMS} and the magnetic pseudodifferential calculus we have developped in \cite{MP1,MPR1,IMP1,IMP2} we construct an effective Hamitonian that describes the spectrum in any compact subset of the real axis for a large class of periodic pseudodifferential Hamiltonians in a bounded smooth magnetic field, in a completely gauge covariant setting, without any restrictions on the vector potential and without any adiabaticity hypothesis.

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Viorel Iftimie, Radu Purice. 2013-04-09. The Peierls-Onsager Effective Hamiltonian in a complete gauge covariant setting: Description of the spectrum. https://arxiv.org/abs/1304.2496

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