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EXACTLY SOLVABLE PAIRING MODEL USING AN EXTENSION OF THE RICHARDSON–GAUDIN APPROACH

A. B. BALANTEKIN

Department of Physics, University of Wisconsin, Madison, Wisconsin 53706, USA

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T. DERELI

Department of Physics, Koç University, 34450 Sarıyer, Istanbul, Turkey

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, and

Y. PEHLIVAN

Department of Mathematics, Izmir University of Economics, 35330 Balçova/IZMIR, Turkey

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https://doi.org/10.1142/S021830130500276XCited by:4 (Source: Crossref)

Abstract

We introduce a new class of exactly solvable boson pairing models using the technique of Richardson and Gaudin. Analytical expressions for all energy eigenvalues and the first few energy eigenstates are given. In addition, another solution to Gaudin's equation is also mentioned. A relation with the Calogero–Sutherland model is suggested.

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