solvable pairing
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2011 ◽  
Vol 84 (6) ◽  
Author(s):  
J. Dukelsky ◽  
S. Lerma H. ◽  
L. M. Robledo ◽  
R. Rodriguez-Guzman ◽  
S. M. A. Rombouts

2009 ◽  
Vol 79 (18) ◽  
Author(s):  
Miguel Ibañez ◽  
Jon Links ◽  
Germán Sierra ◽  
Shao-You Zhao

2007 ◽  
Vol 16 (02) ◽  
pp. 210-221 ◽  
Author(s):  
J. DUKELSKY ◽  
B. ERREA ◽  
S. LERMA H. ◽  
S. PITTEL

We review the development of the microscopic BCS theory of superconductivity and the exact solution of the pairing Hamiltonian given by Richardson in 1963. We then introduce the generalized Richardson-Gaudin exactly-solvable pairing models for SU(2) (pairing between like particles), SO(5) ( T =1 pairing) and SO(8) ( T =0,1 pairing) algebras.


2006 ◽  
Vol 15 (08) ◽  
pp. 1665-1679
Author(s):  
J. DUKELSKY ◽  
S. LERMA H. ◽  
B. ERREA ◽  
S. PITTEL ◽  
S. DIMITROVA ◽  
...  

We first review the development of the Richardson-Gaudin exactly-solvable pairing models and then discuss several new models based on rank-two algebras and their applications to problems in nuclear structure.


Author(s):  
J. P. DRAAYER ◽  
V. G. GUEORGUIEV ◽  
K. D. SVIRATCHEVA ◽  
C. BAHRI ◽  
FENG PAN ◽  
...  

2005 ◽  
Vol 14 (01) ◽  
pp. 47-55 ◽  
Author(s):  
A. B. BALANTEKIN ◽  
T. DERELI ◽  
Y. PEHLIVAN

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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