线性变分法研究一维无限深势阱中粒子的能级和波函数  

Investigation on the energy levels and the wave functions of a particle in an infinitely deep potential well by virtue of the linear variational method

作　　者：马二俊[1] 

机构地区：[1]常熟理工学院物理与电子工程学院

出　　处：《大学物理》2014年第3期24-27,65,共5页College Physics

摘　　要：采用满足连续性条件的多项式独立基函数,应用线性变分法通过求解广义本征值方程研究了一维无限深势阱中粒子的能级和波函数.计算表明,随着试验基函数个数的增大,线性变分法的结果趋近于精确的解析结果.The energy levels and the wave functions of a particle in an infinitely deep potential well are investigated by virtue of the linear variational method and solving the generalized eigenvalue equation. The trial basis functions are composed of the independent polynomials which satisfy the continuous condition. It is indicated that the results of the linear variational method converge to the exact analytical results with the increase of the number of the＂ trial basis functions.

关 键 词：无限深势阱 线性变分法 能级 波函数 广义本征值方程 

分 类 号：O413.1[理学—理论物理] O562.1[理学—物理]