Why Is Task 2 in Quantum Mechanics Homework Difficult?

Yuli10
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Hi Yuli,
Have you made any attempts or do you have any ideas of how to solve task 2? What is the general equation for determining the probability density in quantum mechanics? Please give a bit more of your thought process so we can help you out!

Cheers,
Kamas
 
this is what i have tried to do, some ideas of mine.
 

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Try starting out by finding the eigenfunctions of the Hamiltonian for the infinite square well. Each of them should be associated with a definite energy. After that, write the wavefunction as a linear combination of the normalized eigenfunctions. The probability of measuring E_n for the particle is just |c_n|^2, where c_n is the coefficient in front of the eigenfunction.
 
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