Program

O.15 -- Oral, NCTP-41

Date: Wednesday, 3 August 2016

Time: 10h30 - 10h50

Superintegrability of the nine-dimensional MICZ-Kepler problem

Phan Ngọc Hưng (1), Lê Văn Hoàng (1)

(1) Ho Chi Minh City University of Pedagogy, 280, An Duong Vuong Street, District 5, Ho Chi Minh City

The nine-dimensional MICZ-Kepler system with the SO(8) monopole potential has been regarded to have SO(10) symmetry recently. Based on this symmetry, we built a set of seventeen second order invariant operators including the Hamiltonian of the system that satisfies the superintegrable condition. Furthermore, we also show that the algebra generated by these second order symmetries is closed under commutation relation. This means the nine-dimensional MICZ-Kepler problem is maximally superintegrable.

Presenter: Phan Ngọc Hưng