scholarly journals Completely integrable models in quasicrystals

1987 ◽  
Vol 110 (1) ◽  
pp. 157-171 ◽  
Author(s):  
V. E. Korepin
Keyword(s):  
Integrable Models ◽  
Completely Integrable

Critical exponents in completely integrable models of quantum statistical physics

1987 ◽  
Vol 70 (1) ◽  
pp. 94-102
Author(s):  
N. M. Bogolyubov ◽  
A. G. Izergin ◽  
V. E. Korepin
Keyword(s):  
Critical Exponents ◽  
Statistical Physics ◽  
Integrable Models ◽  
Completely Integrable ◽  
Quantum Statistical

INTEGRABLE EXTENDED HUBBARD HAMILTONIANS FROM SYMMETRIC GROUP EQUATIONS

2000 ◽  
Vol 14 (17) ◽  
pp. 1719-1728 ◽  
Author(s):  
FABRIZIO DOLCINI ◽  
ARIANNA MONTORSI
Keyword(s):  
Symmetric Group ◽  
Polynomial Solution ◽  
Total Spin ◽  
Integrable Models ◽  
Baxter Equation ◽  
Degree Polynomial ◽  
Group Relations ◽  
Hubbard Hamiltonian ◽  
Completely Integrable ◽  
Physical Features

We consider the most general form of extended Hubbard Hamiltonian conserving the total spin and number of electrons, and find all the 1-dimensional completely integrable models which can be derived from first degree polynomial solution of the Yang–Baxter equation. It is shown that such models are 96. They are identified with the 16-dimensional representations of the class of solutions of symmetric group relations acting as generalized permutators. As particular examples, the EKS and some other known models are obtained. A method for determining the physical features of the above models is outlined.

scholarly journals Completely integrable models of nonlinear optics

Pramana ◽  
2001 ◽  
Vol 57 (5-6) ◽  
pp. 953-968 ◽  
Author(s):  
Andrey I Maimistov
Keyword(s):  
Nonlinear Optics ◽  
Integrable Models ◽  
Completely Integrable
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