Shift Operators for XXX-Heisenberg Chain
Jing-Ling Chen, Mo-Lin Ge, Kang Xue
TL;DR
This paper introduces shift operators for the XXX-Heisenberg chain, constructed from local Yangian operators, and explains their physical significance, advancing understanding of integrable quantum spin chains.
Contribution
The paper constructs explicit shift operators for the XXX-Heisenberg chain using local Yangian operators and elucidates their physical implications.
Findings
Shift operators are explicitly constructed from local Yangian operators.
Eigenfunction amplitudes follow Bethe ansatz equations.
Physical implications of shift operators are clarified.
Abstract
The shift operators for XXX-Heisenberg chain are found. They are formed by local Yangian operators and the amplitutes of the eigenfunctions obeying Bethe ansatz for the Hamiltonian. The physical implication of the shift operators are also explained.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Nonlinear Waves and Solitons · Advanced Topics in Algebra