ScholarLens Back to search
2010•arXiv (Cornell University)Open access

Completeness of the Bethe ansatz on Weyl alcoves

Erdal Emsiz

Open full text 0 citations

Abstract

We prove the completeness of the Bethe ansatz eigenfunctions of the Laplacian on a Weyl alcove with repulsive boundary condition at the walls. For the root system of type A this amounts to the result of Dorlas of the completeness of the Bethe ansatz eigenfunctions of the quantum Bose gas on the circle with repulsive delta-function interaction.

Open-access reader

About this research paper

What this paper is about

We prove the completeness of the Bethe ansatz eigenfunctions of the Laplacian on a Weyl alcove with repulsive boundary condition at the walls. For the root system of type A this amounts to the result of Dorlas of the completeness of the Bethe ansatz eigenfunctions of the quantum Bose gas on the circle with repulsive delta-function interaction.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

We prove the completeness of the Bethe ansatz eigenfunctions of the Laplacian on a Weyl alcove with repulsive boundary condition at the walls. For the root system of type A this amounts to the result of Dorlas of the completeness of the Bethe ansatz eigenfunctions of the quantum Bose gas on the circle with repulsive delta-function interaction.

Key concepts: Bethe ansatz, Completeness (order theory), Eigenfunction, Laplace operator, Mathematical physics, Mathematics, Ansatz, Boundary value problem

Related papers

Related paper 1Related paper 2
Back to paper searchBrowse research topicsOriginal source
Completeness of the Bethe ansatz on Weyl alcoves — Research Paper | ScholarLens