A lower bound on the spectral gap of Schrödinger operators with weak potentials of compact support

Abstract

In this paper we continue the study of the spectral gap of Schrödinger operators on large intervals and subject to Neumann boundary conditions. The main goal is to derive a lower bound on the spectral gap which is polynomial in the interval length. This bound is derived for a class of bounded potentials of compact support which are weak enough in a suitable sense.

References in corpus (2)

• A lower bound on the spectral gap of one-dimensional Schrödinger operators
• A lower bound on the spectral gap of Schrödinger operators with weak potentials of compact support

Cited by in corpus (4)

• A lower bound on the spectral gap of one-dimensional Schrödinger operators
• A lower bound on the spectral gap of Schrödinger operators with weak potentials of compact support
• On the spectral gap of one-dimensional Schrödinger operators on large intervals
• On the spectral gap of the path graph in the limit of large volume