A spin-shift relation of the Ruijsenaars-Schneider Hamiltonian of type $C_n$
Kazuyuki Oshima
TL;DR
This paper develops a spin-shift relation for the trigonometric Ruijsenaars-Schneider Hamiltonian of type C_n, extending previous work on spin-shift operators for multi-particle Hamiltonians.
Contribution
It introduces a new spin-shift relation specific to the type C_n Ruijsenaars-Schneider Hamiltonian, advancing the understanding of its algebraic structure.
Findings
Established a spin-shift relation for type C_n Hamiltonian
Extended previous work on spin-shift operators
Contributed to the algebraic analysis of integrable systems
Abstract
We constract a spin-shift relation of the trigonometric Ruijsenaars-Schneider Hamiltonian of type . This is a succesive study of our previous paper whose title is " A Spin-Shift Operator of the Multi-particle Ruijsenaars-Schneider Hamiltonian" in Lett. Math. Phys. 60 pp.59-61, (2002).
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Taxonomy
TopicsAdvanced Topics in Algebra · Matrix Theory and Algorithms · Algebraic structures and combinatorial models