Blondeau-Fournier O, Desrosiers P, Mathieu P
Département de physique, de génie physique et d'optique, Université Laval, Québec, Canada G1V 0A6.
CRIUSMQ, 2601 de la Canardière, Québec, Canada G1J 2G3.
Phys Rev Lett. 2015 Mar 27;114(12):121602. doi: 10.1103/PhysRevLett.114.121602. Epub 2015 Mar 24.
An integrable supersymmetric generalization of the trigonometric Ruijsenaars-Schneider model is presented whose symmetry algebra includes the super Poincaré algebra. Moreover, its Hamiltonian is shown to be diagonalized by the recently introduced Macdonald superpolynomials. Somewhat surprisingly, the consistency of the scalar product forces the discreteness of the Hilbert space.
提出了三角Ruijsenaars-Schneider模型的一种可积超对称推广，其对称代数包含超庞加莱代数。此外，其哈密顿量被证明可由最近引入的麦克唐纳超多项式对角化。有点令人惊讶的是，标量积的一致性迫使希尔伯特空间离散化。
