the minimum possible energy for seven non-interacting spin- 1 2 particles of mass m in a one-dimensional box of length l is 15пh²/4ml²
Since the given data is a one-dimensional box of length l and a seven non-interacting spin of - 1/2 particles. Since we know that the electric dipole moment, is a property of an electron where the potential energy of the particles is related to the magnitude of the electric field, the electric dipole moment, of the electron must be collinear with the direction of the magnetic moment of the electron .Energies the for seven noninteracting particles in a one-dimensional box
E= 2 (1²пh²/8ml²)+2(2²пh²/8ml²)+2(3²пh²/8ml²)+1( 4²пh²/8ml²)
= 2пh²/8ml²( 1+4+9) + 4²пh²/8ml²
= 15пh²/4ml²
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