I am not sure if my title to this thread is appropriate for the question I am about to ask, but it is what we are currently studying in my Quantum Mechanics class so here it goes.(adsbygoogle = window.adsbygoogle || []).push({});

Two non-interacting particles with mass m, are in 1-d potential which is zero along a length 2a and infinite elsewhere

a) What are the values of the values of the 4 lowest energies of the system?

b) What are degeneracies of these energies if two particles are

i)identical, with spin 1/2

ii)not identical but both have spin 1/2

iii)identical with spin 1

What I am having trouble with is part a, but once I am helped with that can someone point me in the right direction to solve part b which is where I guess the anti-symmetric and symmetric wave functions come into play. I know spin 1/2 corresponds to fermions, while spin 1 correspnds to bosons. But I am still not sure how to this. Thanks and peace.

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# Symmetric and Anti-Symmetric Wavefunctions

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