淡江大學機構典藏:Item 987654321/124216
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    题名: Time-dependent Darboux transformation and supersymmetric hierarchy of Fokker–Planck equations
    作者: Ho, Choon-lin
    日期: 2022-01-08
    上传时间: 2023-07-05 12:05:46 (UTC+8)
    摘要: A procedure is presented for solving the Fokker–Planck equation with constant diffusion but non-stationary drift. It is based on the correspondence between the Fokker–Planck equation and the non-stationary Schrödinger equation. The formalism of supersymmetric quantum mechanics is extended by applying the Darboux transformation directly to the non-stationary Schrödinger equation. From a solution of a Fokker–Planck equation a solution of the Darboux partner is obtained. For drift coefficients satisfying the condition of shape invariance, a supersymmetric hierarchy of Fokker–Planck equations with solutions related by the Darboux transformation is obtained.
    關聯: Chinese Journal of Physics 77,　p.1903–1911
    DOI: 10.1016/j.cjph.2021.12.028
    显示于类别:[物理學系暨研究所] 期刊論文

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