College Physics ›› 2021, Vol. 40 ›› Issue (10): 22-.doi: 10.16854 / j.cnki.1000-0712.210075

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Solving Schrödinger equations with multiple delta potentials by Fourier transformation

XIONG Lu-lin,TAN Xin,LUO Guang   

  1. College of Physics and Electronic Engineering,Chongqing Normal University,Chongqing 401331,China
  • Received:2021-02-16 Revised:2021-05-21 Online:2021-10-15 Published:2021-10-15

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