| Time-dependent Darboux transformation and supersymmetric hierarchy of Fokker–Planck equations | |
|---|---|
| 學年 | 110 |
| 學期 | 1 |
| 出版（發表）日期 | 2022-01-08 |
| 作品名稱 | Time-dependent Darboux transformation and supersymmetric hierarchy of Fokker–Planck equations |
| 作品名稱（其他語言） | |
| 著者 | Ho, Choon-lin |
| 單位 | |
| 出版者 | |
| 著錄名稱、卷期、頁數 | Chinese Journal of Physics 77, p.1903–1911 |
| 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. |
| 關鍵字 | |
| 語言 | zh_TW |
| ISSN | 0577-9073 |
| 期刊性質 | 國內 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | 否 |
| 國別 | TWN |
| 公開徵稿 | |
| 出版型式 | ,電子版 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/124216 ) |
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