Exactly solvable pairing models in nuclear and mesoscopic physics

20th International School on Nuclear Physics, Neutron Physics and Applications

Dukelsky, J.^1

Instituto de Estructura de la Materia, C.S.I.C., Serrano 123, Madrid

28006, Spain^1

关键词: Exact solution;    Exactly solvable model;    Heavy nucleus;    Hyperbolic models;    ITS applications;    Mesoscopic physics;    Pairing models;    Quantum physics;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/533/1/012057/pdf
DOI  :  10.1088/1742-6596/533/1/012057

来源: IOP

【 摘 要 】

The exact solution of the BCS pairing Hamiltonian dates back to the work of Richardson in 1963. Little attention was paid to this exactly solvable model for almost 40 years. However, at the beginning of the 21th century, there was a burst of work focusing on its applications in different areas of quantum physics. In this contribution we introduce the generalized integrable Richardson-Gaudin models, and discuss a recent application of the hyperbolic model to heavy nuclei.