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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
π²h²
Enx,ny,n² = (n² +n} + n²) 2m[² ›
with nx, ny, and n₂ positive integers.

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