一维周期性δ函数势场中束缚态能级的研究  

Study on the Bound State Energy Levels in One Dimensional Periodic δ Function Potential Field

作　　者：田路遥 张澜旭 裴魏魏 张海丰[1] TIAN Luyao;ZHANG Lanxu;PEI Weiwei;ZHANG Haifeng(College of Natural Science,Jiamusi University,Jiamusi Heilongjiang 154007,China;College of Mechanical Engineering,Jiamusi University,Jiamusi Heilongjiang 154007,China)

机构地区：[1]佳木斯大学理学院,黑龙江佳木斯154007 [2]佳木斯大学机械工程学院,黑龙江佳木斯154007

出　　处：《佳木斯大学学报（自然科学版）》2021年第3期168-170,共3页Journal of Jiamusi University：Natural Science Edition

基　　金：黑龙江省省属本科高校基本科研业务费科研项目资助(2018-KYYWF-0956)。

摘　　要：通过求解δ函数势场在极限条件时的定态薛定谔方程,给出了束缚态波函数的跃变条件及系数变换矩阵,进而讨论了周期性δ函数势场的束缚态能级。研究结果表明:通过代数解法能够较便捷地给出δ函数势场中粒子的束缚态波函数的跃变条件及系数变换矩阵及周期性δ函数势场的束缚态能级。By solving the fixed state Schrodinger equation of the δ function potential field under the limiting conditions,the condition of the increasing variation of the bound state wave function and the transformation matrix of the coefficients are given.Then the bound state energy levels of the periodicδfunction potential field are discussed.The results show that the algebraic method can be used to provide the condition of the wave function of the bound state of the particles,the transformation matrix of the coefficients and the bound state energy level of the periodicδfunction potential field.

关 键 词：δ函数势场 束缚态 能级 

分 类 号：O431[机械工程—光学工程]