TY - JOUR

T1 - Equivalence of two sets of Hamiltonians associated with the rational BCn Ruijsenaars-Schneider-van Diejen system

AU - Görbe, T. F.

AU - Fehér, L.

PY - 2015/10/30

Y1 - 2015/10/30

N2 - The equivalence of two complete sets of Poisson commuting Hamiltonians of the (super)integrable rational BCn Ruijsenaars-Schneider-van Diejen system is established. Specifically, the commuting Hamiltonians constructed by van Diejen are shown to be linear combinations of the Hamiltonians generated by the characteristic polynomial of the Lax matrix obtained recently by Pusztai, and the explicit formula of this invertible linear transformation is found.

AB - The equivalence of two complete sets of Poisson commuting Hamiltonians of the (super)integrable rational BCn Ruijsenaars-Schneider-van Diejen system is established. Specifically, the commuting Hamiltonians constructed by van Diejen are shown to be linear combinations of the Hamiltonians generated by the characteristic polynomial of the Lax matrix obtained recently by Pusztai, and the explicit formula of this invertible linear transformation is found.

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U2 - 10.1016/j.physleta.2015.08.014

DO - 10.1016/j.physleta.2015.08.014

M3 - Article

AN - SCOPUS:84941785435

VL - 379

SP - 2685

EP - 2689

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 42

M1 - 23373

ER -