Abstract
We investigate the vibrational energy eigenvalues and eigenfunctions of the neutral sodium atom trapped by the optical dipole potential due to a cavity mode. Our model is based on the optical confinement of a sodium atom between parallel plates with its dipole moment vector fixed in the axial direction of the cavity. The negative detuning situation and suitable parameters are taken in order to maintain a sufficiently deep central well of the optical dipole potential to allow many quasi harmonics trapped states of the atom.