Gradient of eigenvalues of Dirac operators and its applications
Classical Analysis and ODEs
2017-05-08 v1 Spectral Theory
Abstract
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.
Cite
@article{arxiv.1705.02306,
title = {Gradient of eigenvalues of Dirac operators and its applications},
author = {Tigran Harutyunyan and Yuri Ashrafyan},
journal= {arXiv preprint arXiv:1705.02306},
year = {2017}
}
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12 pages