1999/10/01 by Emanuela Caliceti
Mathematics · Physics and Astronomy · #Anharmonicity #Eigenvalues and eigenvectors #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Spectral Theory in Mathematical Physics #Spectrum (functional analysis) #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1088/0305-4470/33/20/303
arxiv created 1999/10/01 · openalex publication_date 2000/05/11 · arxiv updated 2015/06/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
It is proved that the divergent Rayleigh-Schrödinger perturbation expansions for the eigenvalues of any odd anharmonic oscillator are Borel summable in the distributional sense to the resonances naturally associated with the system.