Quantum Chaos: An Exploration of the Stadium Billiard Using Finite Differences


We investigate quantum chaos in chaotic billiards by modelling the square (non-chaotic) and the stadium (chaotic) billiards as 2D infinite square wells. We developed MATLAB code that uses grid points and the method of finite differences to numerically solve the Schrödinger equation for either case. We successfully obtained the “scar” structures in higher… (More)


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