Quantum Integrals for a Semi-Infinite $q$-Boson System with Boundary Interactions
Jan Felipe van Diejen, Erdal Emsiz
TL;DR
This paper derives explicit quantum integral formulas for a semi-infinite $q$-boson system with boundary interactions, utilizing degenerations of Macdonald-Koornwinder polynomials, advancing understanding of integrable quantum systems.
Contribution
It introduces explicit formulas for quantum integrals in a semi-infinite $q$-boson system with boundary interactions, based on degenerations of Macdonald-Koornwinder polynomials.
Findings
Explicit formulas for quantum integrals derived
Operators shown to commute, confirming integrability
Utilizes Pieri formulas for polynomial degenerations
Abstract
We provide explicit formulas for the quantum integrals of a semi-infinite -boson system with boundary interactions. These operators and their commutativity are deduced from the Pieri formulas for a Hall-Littlewood type degeneration of the Macdonald-Koornwinder polynomials.
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.