15. A system of 4 identical non-interacting spin-1/2 particles confined to a three-dimensional cubic infinite well potential is in its minimum energy configuration for which E = 3.78 eV. What is the minimum energy of the same system with 6 such particles? Re- call that the energy levels of a three-dimensional cubic infinite well are given by En_,n,n₂ = (n² +n² + n²) with n, ny, and n, positive integers. π²h² 2mL²¹

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