Derivation of R-matrix from local Hamiltonian density

P.N. Bibikov

Derivation of R-matrix from local Hamiltonian density

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arxiv nlin/0006040 v1 pith:OQOIUQJB submitted 2000-06-23 nlin.SI

P.N. Bibikov This is my paper · ORCID

classification nlin.SI

keywords r-matrixalgebraalgoritmclassificationcomputerdensityderivationdeveloped

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A computer algebra algoritm for solving the quantum Yang-Baxter equation is presented. It is based on the Taylor expansion of R-matrix which is developed up to the order \lambda^6. As an example the classification of 4x4 R-matrices is given.

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A Simple Necessary and Sufficient Condition for Yang--Baxter Integrability
cond-mat.stat-mech 2026-07 conditional novelty 8.0 of 10

The Reshetikhin condition on a nearest-neighbour spin-chain Hamiltonian is sufficient (and necessary) for the existence of a regular difference-form Yang–Baxter R-matrix, resolving a 1980s conjecture.

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