The inverse spectral theory of discrete Schrodinger operators

Organizer: Wencai Liu


Description: Two central problems

  • Uniqueness: Can the partial information both in the spectrum and the potential determine the potential?

  • Algorithm: What is the algorithm to recover the remaining potential from spectral data?

Project 1

Ambarzumian type problems with mixed data.

    • Assistant: Burak Hatinoglu

    • Time: April 2020-August 2020

    • Participated undergraduate students. Alejandra Puente, Sithija Manage, Jerik Eakins, Lucille Lamb, William Frendreiss

    • Weekly Schedule

    • Outcome: A research paper, Ambarzumian-type problems for discrete Schrödinger operators. Complex Anal. Oper. Theory 15 (2021), no. 8, Paper No. 118, 13 pp. Arxiv version

Project 2

Ambarzumian type problems of long range operators.