Exact solutions for pairing interactions

Details Exact solutions for pairing interactions Exact solutions for pairing interactions

2012-04-13

arxiv.org/abs/1204.2950v1

Physics

Nuclear Physics

Nuclear Theory

14 pages, 2 figures, chapter in "Fifty Years of Nuclear BCS", eds. R.A. Broglia and V.Zelevinsky

Scientific paper

The exact solution of the BCS pairing Hamiltonian was found by Richardson in 1963. While little attention was paid to this exactly solvable model in the remainder of the 20th century, there was a burst of work at the beginning of this century focusing on its applications in different areas of quantum physics. We review the history of this exact solution and discuss recent developments related to the Richardson-Gaudin class of integrable models, focussing on the role of these various models in nuclear physics.

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