Solving Schrödinger equations with multiple delta potentials by Fourier 
transformation

XIONG Lu-lin, TAN Xin, LUO Guang

doi:10.16854 / j.cnki.1000-0712.210075

College Physics >

2021 , Vol. 40 >Issue 10: 22

DOI: https://doi.org/10.16854 / j.cnki.1000-0712.210075

Solving Schrödinger equations with multiple delta potentials by Fourier transformation

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College of Physics and Electronic Engineering，Chongqing Normal University，Chongqing 401331，China

Received date: 2021-02-16

Revised date: 2021-05-21

Online published: 2021-10-15

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Abstract

The process of solving the Schrödinger equation with delta potentials is very

complicated. In this pa- per，the Fourier transform method is used to solve the Schrödinger equation

under the action of several delta poten- tials. Firstly，the Schrödinger 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 de-

duced. Finally，the problem of solving the Schrodinger equation under mutiple delta

potentials constraints is dis- cussed through odd and even delta potentials respectively.

Key words： Fourier transform; delta potential; double delta potentials; mutiple delta potentials

Cite this article

XIONG Lu-lin, TAN Xin, LUO Guang . Solving Schrödinger equations with multiple delta potentials by Fourier transformation[J]. College Physics, 2021 , 40(10) : 22 . DOI: 10.16854 / j.cnki.1000-0712.210075

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