English

Formula for The IDS of Periodic Jacobi Matrices

Spectral Theory 2021-05-24 v2

Abstract

We prove that on the spectrum the integrated density of states (IDS for short) of periodic Jacobi matrices is related to the discriminant. The method is to count the number of generalized zeros of Bloch wave solutions.

Keywords

Cite

@article{arxiv.1808.09084,
  title  = {Formula for The IDS of Periodic Jacobi Matrices},
  author = {Liangping Qi},
  journal= {arXiv preprint arXiv:1808.09084},
  year   = {2021}
}

Comments

6 pages