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
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 )