Visualising Quantum Physics using simulations

1. Demonstration The video shows a python simulation of the time evolution of the wave function associated with a quantum particle in a one dimensional box (also referred to as the 'infinite square well'). The theory and implementation is described in the sections that follow. 2. Methodology 2.1 Theoretical Background It is assumed that the reader is already familiar with how the problem of the one dimensional box (or the infinite well) is solved in Quantum Mechanics. If not, see reference [1] and/or [2] at the end of this article. This section presents a brief background on the equations and the theoretical jargon that will be directly used in writing the code. The infinite well potential is given by, Solving the time independent Schrӧdinger's equation for this potential, we obtain time independent separable solutions of the form, The general time dependent solution can be written as a linear combination of the separable solutions along with their time dependent part,   ...