scholarly journals Separation of variables in the quantum integrable models related to the Yangiany[sl(3)]

1996 ◽  
Vol 80 (3) ◽  
pp. 1861-1871 ◽  
Author(s):  
E. K. Sklyanin
Keyword(s):  
Separation Of Variables ◽  
Integrable Models ◽  
Quantum Integrable Models

scholarly journals ompleteness of SoV Representation for SL(2,R) Spin Chains

2021 ◽  
Author(s):  
Sergey E. Derkachov ◽  
◽  
Karol K. Kozlowski ◽  
Alexander N. Manashov ◽  
◽  
...  
Keyword(s):  
Singular Integrals ◽  
Separation Of Variables ◽  
Spin Chains ◽  
Integrable Models ◽  
New Method ◽  
Infinite Dimensional ◽  
Rank One ◽  
Quantum Integrable Models

This work develops a new method, based on the use of Gustafson's integrals and on the evaluation of singular integrals, allowing one to establish the unitarity of the separation of variables transform for infinite-dimensional representations of rank one quantum integrable models. We examine in detail the case of the SL(2,R) spin chains.

scholarly journals ALGEBRAIC ASPECT AND CONSTRUCTION OF LAX OPERATORS IN QUANTUM INTEGRABLE SYSTEMS

1995 ◽  
Vol 10 (40) ◽  
pp. 3113-3117 ◽  
Author(s):  
B. BASU-MALLICK ◽  
ANJAN KUNDU
Keyword(s):  
Integrable Systems ◽  
Integrable Models ◽  
Quantum Integrable Systems ◽  
Algebraic Construction ◽  
Algebraic Aspect ◽  
Quantum Integrable Models

An algebraic construction which is more general and closely connected with that of Faddeev,1 along with its application for generating different classes of quantum integrable models is summarized to complement the recent results of Ref. 1.

FROM INHOMOGENEOUS SIX-VERTEX LATTICE MODELS TO CONTINUUM QUANTUM INTEGRABLE MODELS

1992 ◽  
Vol 07 (25) ◽  
pp. 6385-6403
Author(s):  
Y.K. ZHOU
Keyword(s):  
Integrable Systems ◽  
Scaling Limit ◽  
Lattice Models ◽  
Integrable Models ◽  
Two Dimensional ◽  
Vertex Model ◽  
Quantum Integrable Systems ◽  
Vertex Models ◽  
Quantum Integrable Models ◽  
Sine Gordon Model

A method to find continuum quantum integrable systems from two-dimensional vertex models is presented. We explain the method with the example where the quantum sine-Gordon model is obtained from an inhomogeneous six-vertex model in its scaling limit. We also show that the method can be applied to other models.

Conserved currents in quantum integrable models

1997 ◽  
Vol 113 (1) ◽  
pp. 1235-1243 ◽  
Author(s):  
E. V. Kopanev ◽  
S. V. Kryukov ◽  
M. A. Sukhoruchkin
Keyword(s):  
Integrable Models ◽  
Quantum Integrable Models ◽  
Conserved Currents

scholarly journals Recurrence relations for off-shell Bethe vectors in trigonometric integrable models

2022 ◽  
Author(s):  
Andrew Liashyk ◽  
Stanislav Pakuliak
Keyword(s):  
Scalar Product ◽  
Recurrence Relations ◽  
Monodromy Matrix ◽  
Integrable Models ◽  
Zero Modes ◽  
Quantum Integrable Models

Abstract The zero modes method is applied in order to get action of the monodromy matrix entries onto off-shell Bethe vectors in quantum integrable models associated with $U_q(\mathfrak{gl}_N)$-invariant $\RR$-matrices. The action formulas allowto get recurrence relations for off-shell Bethe vectors and for highest coefficients of the Bethe vectors scalar product.

Sign in / Sign up

Export Citation Format

Share Document