Superposition of super-integrable pseudo-Euclidean potentials in N=2 with a fundamental constant of motion of arbitrary order in the momenta

作者：Campoamor Stur**erg R^*

来源：Journal of Mathematical Physics, 2014, 55(4): 042904.

DOI：10.1063/1.4871546

It is shown that for any alpha, beta is an element of R and k is an element of Z, the Hamiltonian H-k = p(1)p(2) - alpha q(2)((2k+1))q(1)((-2k-3)) - beta/2q(2)(k)q(1)((-k-2)) is super-integrable, possessing fundamental constants of motion of degrees 2 and 2k + 2 in the momenta.

• 出版日期2014-4