Year: 2013
Type: preprint
Abstract: The research on spectral inequalities for discrete Schrodinger Operators has proved fruitful in the last decade. Indeed, several authors analysed the operator's canonical relation to a tridiagonal Jacobi matrix operator. In this paper, we consider a generalisation of this relation with regards to connecting higher order Schrodinger-type operators with symmetric matrix operators with arbitrarily many non-zero diagonals above and below the main diagonal. We thus obtain spectral bounds for such matrices, similar in nature to the Lieb{Thirring inequalities.
Source: arXiv (Cornell University)
Author: Sahovic, Arman
Institution: Imperial College London
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2949064614