Consider a cubic 3D infinite well of side length L. There are 15 identical particles of mass m in the well, but for whatever reason, no more than two particles can have the same wave function, (a) What is the lowest possible total energy? (b) In this mini mum-total-energy state, at what point(s) would the highest-energy particle most likely be found? (Note: Knowing no more than its energy, the highest-energy particle might be in any of multiple wave functions open to it and with equal probability.)
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