Fredholm Determinant and Wronskian Representations of the Solutions to the Schrödinger Equation with a KdV-Potential

From the finite gap solutions of the KdV equation expressed in terms of abelian functions we construct solutions to the Schrödinger equation with a KdV potential in terms of fourfold Fredholm determinants. For this we establish a connection between Riemann theta functions and Fredholm determinants a...

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Bibliographic Details
Main Author: Pierre Gaillard
Format: Article
Language:English
Published: MDPI AG 2024-10-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/13/10/712