عنوان مقاله [English]
نویسندگان [English]چکیده [English]
Eigenvalues and eigenvectors of the excited states of three body molecular systems contacting under the coulomb potential are calculated parametrically by the direct solution of Schrodinger equation without using any approximation or variation parameters. This has done by expressing the coordinates of system in Jacobi and then in hyperspherical coordinates and consequently by the expansion of the angular part of wave function in hyperspherical harmonics and the spherical part of the wave function in extended Laguerre functions. Thus, the Schrodinger equation for three body molecular system becomes a non-differential matrix equation for eigenvalues and eigenvectors (expansion coefficients). After computing the expansion coefficients (wave function) the expectation value of various parameters of the system such as separation between particles can be determined.