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

2025/01/24 by Benedetto, Lino, Kammerer, Clotilde Fermanian, Raymond, Nicolas +1 · 3 citations
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2501.14388

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.

Cited by

• Semiclassical tunneling for some 1D Schrödinger operators with complex-valued potentials
• Quantum ergodicity for contact metric structures
• Low-energy eigenstates in a vanishing magnetic field

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