The Dynamics of the One-Dimensional Delta-Function Bose Gas
Craig A. Tracy, Harold Widom
TL;DR
This paper presents a novel method to solve the time-dependent Schrödinger equation for one-dimensional delta-function Bose gases, leveraging Bethe Ansatz ideas without relying on spectral theory.
Contribution
Introduces a new approach to analyze the dynamics of 1D delta-function Bose gases without spectral theory, expanding analytical tools in quantum many-body physics.
Findings
Provides a practical method for solving time-dependent problems
Circumvents the need for spectral theory in Bethe Ansatz applications
Enhances understanding of quantum dynamics in 1D Bose systems
Abstract
We give a method to solve the time-dependent Schroedinger equation for a system of one-dimensional bosons interacting via a repulsive delta function potential. The method uses the ideas of Bethe Ansatz but does not use the spectral theory of the associated Hamiltonian.
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.