title: Divergence-free WKB method.
abstract: A new semiclassical approach to the linear and nonlinear one-dimensional Schrödinger equation is presented. For both equations our zeroth-order solutions include nonperturbative quantum corrections to the WKB solution and the Thomas-Fermi solution, thereby allowing us to make uniformly converging perturbative expansions of the wave functions. Our method leads to a new quantization condition that yields exact eigenenergies for the harmonic-oscillator and Morse potentials.
authors: Department of Physics, Tokyo Institute of Technology, Meguro-ku, Tokyo 152-8551, Japan.
authors: Tadanori
authors: T
authors: Hyouguchi
authors: Satoshi
authors: S
authors: Adachi
authors: Masahito
authors: M
authors: Ueda