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arXiv · 2501.14388

The superadiabatic projectors method applied to the spectral theory of magnetic operators

Lino Benedetto·Clotilde Fermanian Kammerer·Nicolas Raymond·Éric Vacelet
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Abstract

This article deals with a generalization of the superadiabatic projectors method. In a general framework, the well-known superadiabatic projectors are constructed and accurately described in the case of rank one, when a remarkable factorization occurs. We apply these ideas to spectral theory and we explain how our abstract results allow to recover or improve recent results about the semiclassical magnetic Laplacian.

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Lino Benedetto, Clotilde Fermanian Kammerer, Nicolas Raymond, Éric Vacelet. 2025-01-24. The superadiabatic projectors method applied to the spectral theory of magnetic operators. https://arxiv.org/abs/2501.14388

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