An accurate method for numerical calculations of matrix elements and for solving the
eigenvalue problem in quantum mechanics is presented. Methods for numerical …

An improved shooting approach is presented and used to solve the one-dimensional
Schrödinger equation in a simple one-band effective mass model whose applicability to the …

A wide range of topics in the area of hypervirial perturbation theory (HVPT) is discussed. It is
shown that with the use of a few simple procedures HVPT is capable of high accuracy for …

One-dimensional Schrijdinger equation and its “exact” representation on a discrete lattice Page
1 23 December 1996 ELSEVIER Physics Letters A 223 (1996) 411-416 PHYSICS LETTERS A …

应用转移矩阵方法求解三种不同量子阱体系中基于单带有效质量模型和包络函数近似下的一维
定态薛定谔方程. 首先, 通过比较Ⅰ 型单量子阱GaAlAs/GaAs/GaAlAs 体系的解析解和数值解 …

A comparison of the shooting and the matrix diagonalization forms of the finite difference
method for the Schrödinger equation leads to an order doubling principle which produces …

A perturbation theoretic approach to finite difference methods for the calculation of
eigenvalues is shown to permit an increase in the accuracy of the calculations and also to …

A simple algorithm is given to treat perturbed oscillator bound states and resonances. The
method is applied to a bound state problem for which the energy is a non-analytic function of …

The treatment of a nonlinear Schrödinger equation with power law potential terms by means
of hypervirial perturbation theory (HVPT) is considered. Previous workers have tried to …

The one-dimensional time-independent Schrödinger equation is transformed into the
Hamiltonian canonical equation by means of the Legendre transformation, the numerical …