The ODE/IM correspondence and PT-symmetric quantum mechanics
Patrick Dorey, Clare Dunning, Roberto Tateo
TL;DR
This paper reviews the link between integrable quantum field theory and spectral theory of differential equations, highlighting its significance for PT-symmetric quantum mechanics.
Contribution
It elucidates the ODE/IM correspondence and its applications to PT-symmetric quantum systems, offering new insights into their spectral properties.
Findings
Established a connection between integrable models and differential equations in PT-symmetric contexts.
Provided a framework for analyzing spectral problems in PT-symmetric quantum mechanics.
Highlighted potential for solving spectral problems using integrable quantum field theory techniques.
Abstract
A connection between integrable quantum field theory and the spectral theory of ordinary differential equations is reviewed, with particular emphasis being given to its relevance to certain problems in PT-symmetric quantum mechanics.
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
TopicsQuantum Mechanics and Non-Hermitian Physics