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Exactly solvable Richardson–Gaudin models and their applications

AuthorsPittel, S.; Dukelsky, Jorge
Keywords[PACS] Shell model
[PACS] Models based on group theory
[PACS] Integrable systems
Issue Date28-Jun-2006
PublisherRoyal Swedish Academy of Sciences
CitationPhysica Scripta T125: 91–93 (2006)
AbstractWe first show that the quantum pairing problem can be mapped exactly on to a classical electrostatic problem in two dimensions and then use this analogy to obtain a pictorial representation of how superconductivity arises in a finite fermionic system. Specific application to the nuclei 114−116Sn suggests some new insight into the evolution of pairing correlations in a quantum system with few active particles. We also summarize other recent work on exactly solvable pairing models, including their applications in a wide variety of strongly correlated quantum systems.
Description3 pages, 1 table, 1 figure.--PACS nrs.: 21.60.Cs, 21.60.Fw, 02.30.Ik.--Arxiv pre-print available at: http://arxiv.org/abs/math-ph/0609022v1
Publisher version (URL)http://dx.doi.org/10.1088/0031-8949/2006/T125/020
Appears in Collections:(CFMAC-IEM) Artículos
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