A ID infinite square well is defined in the region of 0 < x < 2....

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A ID infinite square well is defined in the region of 0 < x < 2π. At t = 0, a particle is placed at the central location (i.e., at x = TT) of the well. (a) Write down the initial wave function of the particle. (b) Derive the wave function for the particle at an arbitrary time t. Leave your result as a summation. A ID infinite square well is defined in the region of 0 < x < 2π. At t = 0, a particle is placed at the central location (i.e., at x = TT) of the well. (a) Write down the initial wave function of the particle. (b) Derive the wave function for the particle at an arbitrary time t. Leave your result as a summation.