若干delta势的薛定谔方程的傅里叶变换求解  

Solving Schr dinger equations with multiple delta potentials by Fourier transformation

作　　者：熊路淋 谭鑫 罗光[1] XIONG Lu-lin;TAN Xin;LUO Guang(College of Physics and Electronic Engineering,Chongqing Normal University,Chongqing 401331,China)

机构地区：[1]重庆师范大学物理与电子工程学院,重庆401331

出　　处：《大学物理》2021年第10期22-27,共6页College Physics

基　　金：国家自然科学基金项目青年科学基金(11404046);重庆市科委自然科学基金(cstc2012jjA50018);重庆师范大学国家基金预研项目(16XYY31)资助。

摘　　要：若干delta势约束下的薛定谔方程的求解问题,求解过程往往很繁琐.本文研究基于傅里叶变换法求解了若干delta势作用下的定态薛定谔方程.首先针对单delta势约束下的薛定谔方程进行讨论,然后讨论双delta势下的方程的求解,进而讨论三delta势的方程的求解,最后分别针对奇数个和偶数个delta势阱讨论了若干delta势约束下的薛定谔方程的求解问题.The process of solving the Schr dinger equation with delta potentials is very complicated.In this paper,the Fourier transform method is used to solve the Schr dinger equation under the action of several delta potentials.Firstly,the Schr dinger equation with single delta potential well is discussed,then the solution of the equation with double delta potentials is studied.Furthermore,the solution of the equation of triple delta potentials is deduced.Finally,the problem of solving the Schrodinger equation under mutiple delta potentials constraints is discussed through odd and even delta potentials respectively.

关 键 词：傅里叶变换 delta势 双delta势 多delta势 

分 类 号：O413.1[理学—理论物理]