Divergence-free WKB method |
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| Authors: | Hyouguchi Tadanori Adachi Satoshi Ueda Masahito |
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| Affiliation: | Department of Physics, Tokyo Institute of Technology, Meguro-ku, Tokyo 152-8551, Japan. |
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| Abstract: | A new semiclassical approach to the linear and nonlinear one-dimensional Schr?dinger 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. |
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