On the ground-state energy of a bound polaron in quantum confinement

The ground-state energy of bound polaron in quantum confinement has been calculated by using N-variational parameters to Feynmans approximation action. The method of calculation is based on the Jensen-Feynman inequality which provides an upper bound for the ground-state energy of the polaron in quantum confinement. We also use the same method that Feynman [Phys. Rev. 97 (1955) 660] proposed to calculate the effective mass of a bound polaron.