AN INTEGRABLE SYSTEM ON THE SO(1, 3) GROUP MANIFOLD
In this paper, we study an integrable Hamiltonian system associated with the Lorentz group SO(1, 3). It is known that there exists a relation between Hamiltonian of the physical systems and the Laplace-Beltrami operator on the manifold considered as a Lie group. Thus, the construction of a Laplace-Beltrami operator on the group manifold, wave and potential functions, energy eigenvalue of the integrable Hamiltonian system can be given.
Lorentz group, integrable system, manifold.
