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The aim of this GUI is to aid in analysis of the Gaussian Wave-packet, so that it can be incorporated with main problems in quantum mechanics such that the solution resembles more of reality. The user may grasp the effects of certain Gaussian parameters on the wave-packet itself considering the equation is not intuitive.
Numerical simulation of Gaussian wavepacket dynamics in a 1D quantum harmonic oscillator using the Split-Step Fourier method. The project studies expectation value evolution, probability conservation, and numerical stability.