2017/05/05 by Tigran Harutyunyan, Harutyunyan, Tigran, Yuri Ashrafyan +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.1705.02306
openalex publication_date 2017/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For Dirac operators, which have discrete spectra, the concept of eigenvalues gradient is given and formulae for this gradients are obtained in terms of normalized eigenfunctions. It is shown how the gradient is being used to describe isospectral operators or when finite number of spectral data is changed.