Journal of Theoretical, Experimental, and Applied Physics
Solving the 1D Schrödinger Equation Numerically with Irregular Grid
Abstract
Eimund Smestad
There is a great interest for solving the Schrödinger equation, and here is presented an irregular finite difference scheme to do so. This enables to resolve small details in a larger space with logarithmic grids for instance. Both time- dependent and time-independent Schrödinger equation are formulated with this scheme. Non-zero boundary conditions are also studied for the eigenvalue problem, how changing one boundary affects the other boundary instantly due to normalization.
