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How Small Can the Gap Be between Eigenvalues of the Schrödinger Equation?

Evans M. Harrell II, Georgia Institute of TechnologyFollow

Institution

Georgia Institute of Technology

Abstract

I will report on recent work primarily with Zakaria El Allali about optimal bounds on the fundamental gap for Schrödinger equations on intervals and on quantum graphs, under side assumptions on the potential energy, especially that it is convex or of single-well form.

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How Small Can the Gap Be between Eigenvalues of the Schrödinger Equation?

I will report on recent work primarily with Zakaria El Allali about optimal bounds on the fundamental gap for Schrödinger equations on intervals and on quantum graphs, under side assumptions on the potential energy, especially that it is convex or of single-well form.