scholarly journals Gaudin-type models, non-skew-symmetric classical r -matrices and nested Bethe ansatz

2015 ◽  
Vol 891 ◽  
pp. 200-229 ◽  
Author(s):  
T. Skrypnyk
Keyword(s):  
Bethe Ansatz ◽  
Nested Bethe Ansatz

scholarly journals O(N)-matrix difference equations and a nested Bethe ansatz

2012 ◽  
Vol 45 (5) ◽  
pp. 055207
Author(s):  
Hrachya M Babujian ◽  
Angela Foerster ◽  
Michael Karowski
Keyword(s):  
Bethe Ansatz ◽  
Difference Equations ◽  
Nested Bethe Ansatz ◽  
Matrix Difference Equations

On Nested Bethe Ansatz for RTT Algebra of o(2n) Type

2018 ◽  
Vol 81 (6) ◽  
pp. 810-814 ◽  
Author(s):  
Čestmír Burdík ◽  
Ondřej Navrátil
Keyword(s):  
Bethe Ansatz ◽  
Nested Bethe Ansatz

scholarly journals Nested Bethe Ansatz for RTT-Algebras of sp(2n) Type

2018 ◽  
Vol 49 (5) ◽  
pp. 939-942
Author(s):  
Č. Burdík ◽  
O. Navrátil
Keyword(s):  
Bethe Ansatz ◽  
Nested Bethe Ansatz

scholarly journals EXACT BETHE ANSATZ SOLUTION FOR An−1 CHAINS WITH NON-SUq(n) INVARIANT OPEN BOUNDARY CONDITIONS

1994 ◽  
Vol 09 (24) ◽  
pp. 2207-2216 ◽  
Author(s):  
H.J. de VEGA ◽  
A. GONZÁLEZ-RUIZ
Keyword(s):  
Boundary Conditions ◽  
Bethe Ansatz ◽  
Finite Size ◽  
Open Boundary ◽  
Open Boundary Conditions ◽  
Nested Bethe Ansatz ◽  
Bethe Ansatz Solution ◽  
Size Correction ◽  
Reflection Equations ◽  
Eigenvectors And Eigenvalues

The nested Bethe ansatz is generalized to open and independent boundary conditions depending on two continuous and two discrete free parameters. This is used to find the exact eigenvectors and eigenvalues of the An−1 vertex models and SU (n) spin chains with such boundary conditions. The solution is found for all diagonal families of solutions to the reflection equations in all possible combinations. The Bethe ansatz equations are used to find the first order finite size correction.

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