Numeričko rješavanje Schrödingerove jednadžbe

Marko Mandarić

Published Sep 21, 2020• 0 citations

Abstract

This bachelor thesis deals with the time-independent Schrodinger equation and the two ways of solving it: analytical and numerical. The goal is to show whether the equation can be solved precisely enough numerically on the computer, which would allow solutions for complicated cases that don’t have analytical solutions. Specifically, a solution for a particle in a harmonic potential is discussed. Dependence of the accuracy of the numerical solution on the parameters in the method itself is also discussed. This work presents an algorithm for the numerical solution of the Schrodinger equation. With the growth of computer power in the future, we will definitely be able to improve both the speed and precision of solving even more complicated problems than the one depicted here.

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