Quantum Birkhoff Normal Form in the σ-Bruno-Rüssmann non-resonant condition

2025/01/09 by H. Y. Yuan, Yixian Gao, Yuan, Huanhuan +3
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical functions and polynomials #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2501.05041

openalex publication_date 2025/01/09 · openalex created_date 2025/01/11 · openalex updated_date 2026/07/28

Abstract

The aim of this paper is to construct a Gevrey quantum Birkhoff normal form for the h-differential operator P_h(t), where t∈(-(1)/(2),(1)/(2)), in the neighborhood of the union Λ of KAM tori. This construction commences from an appropriate Birkhoff normal form of H around Λ and proceeds under the σ-Bruno-Rüssmann condition with σ>1.

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