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A. Find a wave function for a 1-D particle-in-a-box that has a 25% chance of being found in the n=1 state, a 25% chance of

A. Find a wave function for a 1-D particle-in-a-box that has a 25% chance of being found in the n=1 state, a 25% chance of being found in the n=2 state, and a 50% chance of being found in the
n=3 state.

B.  Is the wave function from question A a solution to the Schrodinger Equation for a particle in a 1-D box? Answer question mathematically.

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