\documentclass[../schrodinger_simulation.tex]{subfiles} \begin{document} \section{Methods}\label{sec:methods} % \subsection{Double-slit experiment}\label{ssec:double_slit} % In the beginning of the 1800s, the general view was that light consisted of particles. However, in 1801 Thomas Young demonstrated the principle of interference of light \cite{britannica:2023:young}, while postulating light as waves rather than particles. % Thomas Young first performed the double-slit experiment in 1801, to demonstrate % the principle of interference of light \cite{britannica:2023:young}, postulating % light as waves. In the study of blackbodies, scientists were not able to describe % the radiated intensity of increased frequencies using classical mechanichs, as they % contradicted the principle of conservation of energy \cite{britannica:1998:planck}. % Max Planck assumed that the radiated energy consist of discrete values, or quanta, % to describe the peak in radiated energy. The double-slit experiment \subsection{Schrödinger equation}\label{ssec:schrodinger} % \subsection{Crank-Nicolson}\label{ssec:crank_nicolson} % % Might be better to move theory on double-slit here and have a subsection of light % property etc. as a first section or in introduction? \subsection{Implementation}\label{ssec:implementation} % \subsection{Tools}\label{ssec:tools} % \end{document}