Affiliation of Author(s):数学学院

Abstract:The space fractional Schrodinger equation with δ−potential barrier ,δ−potential well and Dirac comb is studied.The jump condition of quantum Riesz fractional derivative is obtained.The reflection coefficient and transmission coefficient are determined. The relationships between the fractional and standard Schrodinger equation are discussed.The results of standard quantum mechanics
can be regarded as particular cases of this paper and are included in this paper.

First Author:Jiang Xiaoyun

Indexed by:Unit Twenty Basic Research

Correspondence Author:xumingyu

Discipline:Natural Science

First-Level Discipline:Mathematics

Page Number:688-691

Translation or Not:no

Date of Publication:2008-07-01