Why Is Task 2 in Quantum Mechanics Homework Difficult?

[Yuli10]

Homework Statement

https://www.physicsforums.com/attachment.php?attachmentid=36163&stc=1&d=1307210405"

Homework Equations

i wasn't able to solve task no. 2.

The Attempt at a Solution

at task 1 i got A=square root of (12/a)

 

[kamas]

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

 

[Yuli10]

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

 

[ideasrule]

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.