Quantum tops as examples of commuting differential operators
V.E. Adler, V.G. Marikhin, A.B. Shabat
TL;DR
This paper investigates quantum analogs of classical tops on Lie algebras $so(4)$ and $e(3)$, focusing on their representation as differential operators to understand their algebraic and spectral properties.
Contribution
It introduces quantum models of tops on specific Lie algebras using differential operators, expanding the understanding of quantum integrable systems.
Findings
Quantum tops on $so(4)$ and $e(3)$ are represented by differential operators.
The study reveals algebraic structures and spectral characteristics of these quantum tops.
Provides a foundation for further exploration of quantum integrable systems on Lie algebras.
Abstract
We study the quantum analogs of tops on Lie algebras and represented by differential operators.
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.