Exactly Solvable Pairing Model Using an Extension of Richardson-Gaudin Approach

A.B. Balantekin (Wisconsin U.; Madison); T. Dereli (Koc U.); Y. Pehlivan (Izmir U. Economics)

arxiv: nucl-th/0505023 · v1 · submitted 2005-05-09 · ⚛️ nucl-th

Exactly Solvable Pairing Model Using an Extension of Richardson-Gaudin Approach

A.B. Balantekin (Wisconsin U. , Madison) , T. Dereli (Koc U.) , Y. Pehlivan (Izmir U. Economics) This is my paper

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keywords energyexactlygaudinmodelpairingsolvableadditionanalytical

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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 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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Exactly Solvable Pairing Model Using an Extension of Richardson-Gaudin Approach

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