Path-Integrals and Quantum-Walks in Multi-Slit SysteMS

Abstract

We examine the double and triple slit systems and their analysis using the popular superposition principle. This approach is only approximately true as the boundary conditions are different in each case. We define a quantity which can be used to quantify the deviation of the actual solution from those obtained from naive superposition principle and present two methods which can be used to obtain solutions and measure their deviation using the defined parameter. We then compare the two methods in the domain where they are expected to match.