Exact solution of the isotropic and anisotropic Hamiltonian of two coupled harmonic oscillators

J. C. Vega, D. Ojeda-Guillén, R. D. Mota

We study the isotropic and anisotropic Hamiltonian of two coupled harmonic oscillators from an algebraic approach of the $SU(1,1)$ and $SU(2)$ groups. In order to obtain the energy…