Failure of Bethe-Ansatz solutions of generalisations of the Hubbard chain to arbitrary permutation symmetry

1982 ◽  
Vol 90 (1-2) ◽  
pp. 83-84 ◽  
Author(s):  
T.C. Choy ◽  
F.D.M. Haldane
Keyword(s):  
Bethe Ansatz ◽  
Permutation Symmetry ◽  
Arbitrary Permutation

scholarly journals Quantum periods and TBA-like equations for a class of Calabi-Yau geometries

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Bao-ning Du ◽  
Min-xin Huang
Keyword(s):  
Large Class ◽  
Bethe Ansatz ◽  
Difference Equations ◽  
The Other ◽  
Elementary Functions ◽  
Quantum Dilogarithm ◽  
Thermodynamic Bethe Ansatz ◽  
Dilogarithm Function ◽  
Quantum Operators

Abstract We continue the study of a novel relation between quantum periods and TBA(Thermodynamic Bethe Ansatz)-like difference equations, generalize previous works to a large class of Calabi-Yau geometries described by three-term quantum operators. We give two methods to derive the TBA-like equations. One method uses only elementary functions while the other method uses Faddeev’s quantum dilogarithm function. The two approaches provide different realizations of TBA-like equations which are nevertheless related to the same quantum period.

Permutation Symmetry in Strong Interactions

1966 ◽  
Vol 149 (4) ◽  
pp. 1264-1268 ◽  
Author(s):  
K. Tanaka
Keyword(s):  
Strong Interactions ◽  
Permutation Symmetry

scholarly journals Bethe ansatz for an AdS/CFT open spin chain with non-diagonal boundaries

2015 ◽  
Vol 2015 (10) ◽  
Author(s):  
Xin Zhang ◽  
Junpeng Cao ◽  
Shuai Cui ◽  
Rafael I. Nepomechie ◽  
Wen-Li Yang ◽  
...  
Keyword(s):  
Bethe Ansatz ◽  
Spin Chain
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