Particle in a 3-d cube LxLxL

• E= (h2 ? 2/2mL2)(n12+n22+n32) =E1 (n12+n22+n32)

• note: n1, n2 and n3 cannot be zero => ?(x,y,z)=0

• lowest energy in the 3-d box is E1,1,1=3E1

• first excited state has any two n’s equal to 1 and the other equal to 2

• E1,1,2=E1,2,1=E2,1,1=6E1

• state is degenerate

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