TL;DR
This paper reviews how dynamical symmetries and spectrum generating algebras are applied to solve the nuclear many-body problem, highlighting group-theoretical techniques in nuclear models.
Contribution
It provides a comprehensive overview of symmetry concepts and their application in nuclear models like the shell model and interacting boson model.
Findings
Illustrates SO(4) symmetry in hydrogen atom
Discusses isospin symmetry in nuclei
Highlights group-theoretical methods in nuclear physics
Abstract
The use of dynamical symmetries or spectrum generating algebras for the solution of the nuclear many-body problem is reviewed. General notions of symmetry and dynamical symmetry in quantum mechanics are introduced and illustrated with simple examples such as the SO(4) symmetry of the hydrogen atom and the isospin symmetry in nuclei. Two nuclear models, the shell model and the interacting boson model, are reviewed with particular emphasis on their use of group-theoretical techniques.
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.