On eigenfunctions corresponding to a small resurgent eigenvalue
Alexander Getmanenko
TL;DR
This paper explores foundational aspects of resurgent analysis applied to the one-dimensional Schrödinger equation, focusing on the properties of eigenfunctions associated with small resurgent eigenvalues.
Contribution
It provides new insights into the behavior of eigenfunctions related to small resurgent eigenvalues in the context of the Schrödinger equation.
Findings
Characterization of eigenfunctions for small resurgent eigenvalues
Development of foundational resurgent analysis methods for quantum systems
Insights into the structure of solutions in one-dimensional quantum mechanics
Abstract
This article is devoted to some foundational questions of resurgent analysis as applied to the Schr\"odinger equation in one dimension.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsSpectral Theory in Mathematical Physics · Algebraic and Geometric Analysis · Matrix Theory and Algorithms