Perturbation of eigenvalues of the Klein Gordon operators II

2022/10/20 by Krešimi Veselić, Veselić, Krešimi
Mathematics · Physics and Astronomy · #81Q15 #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2210.11623

openalex publication_date 2022/10/20 · openalex created_date 2022/10/30 · openalex updated_date 2026/07/28

Abstract

We give estimates for the changes of the eigenvalues of the Klein Gordon operator under the change of the potential. In some relevant situations we improve the existing estimates. We test our results on some exactly solvable models (Coulomb potential, Klein-Gordon oscillator).

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