Solution of the Schrdinger equation for a particular form of Morse potential using the Laplace transform

被引:0
作者
M.Zarezadeh [1 ]
M.K.Tavassoly [1 ,2 ]
机构
[1] Atomic and Molecular Group,Faculty of Physics,Yazd University
[2] Photonics Research Group,Engineering Research Center,Yazd University
关键词
Schrdinger equation; Laplace transform; Morse potential; bound state;
D O I
暂无
中图分类号
O413.1 [量子力学(波动力学、矩阵力学)];
学科分类号
070205 ; 0809 ;
摘要
In this paper, we have solved the Schrdinger equation for a particular kind of Morse potential and find its normalized eigenfunctions and eigenvalues, exactly. Our work is based on the Laplace transform technique which reduces the second-order differential equation to a first-order.
引用
收藏
页码:42 / 44
页数:3
相关论文
共 23 条
[1]  
E Schr?dinger.The factorization of the hypergeometric equation. Proc. Roy. Irish Acad. Sect. A . 1941
[2]  
Bayrak O,,Boztosun I. Journal of Physics A Mathematical and General . 2006
[3]  
Nikiforov,A.F.,Uvarov,V.B. Special Functions of Mathematical Physics . 1988
[4]  
Buzek V,Wilson-Gordon A D,Knight P L,et al.Coherent states in a finite-dimensional basis: their phase properties and relationship to coherent states of light. Physical Review A Atomic Molecular and Optical Physics . 1992
[5]  
Shi-Hai Dong Yu Tang and Guo-Hua Sun"http:www.sciencedirect.comscidirimgentitiesR.On the controllability of a quantum system for the Morse potential with a compact group SU(2). Physics Letters . 2003
[6]  
Tipping R H,Ogilvie J F. The Journal of Chemical Physics . 1983
[7]  
Ali,S.T.,Antoine,J.-P.,Gazeau,J.-P. Coherent States, Wavelets and Their Generalizations . 2000
[8]  
ChenG. Physics Letters A . 2004
[9]  
Morse A P M. Physical Review . 1929
[10]  
Klauder J R,Skagerstam B S.Coherent States, Applications in Physics and Mathematical Physics. . 1985