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For a system composed of two non-interacting, distinguishable particles of mass m1 and m2 (<<m1) in...

For a system composed of two non-interacting, distinguishable particles of mass m1 and m2 (<<m1) in an 1-D infinite potential well (V=0 for 0<x<a, V=infinite otherwise),
1)Write down the hamiltonian of the system. Obtain the eigenenergies and eigenfunctions of the hamiltonian by solving the Hamiltonian eigenequation?

2) For the second-lowest eigenenergy state, what is the probability to find particle 2 between 0< x < a/4

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