期刊論文
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 ) |