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The study of physical properties of condensed phases of matter, including solids and liquids.

7 votes
1 answer
977 views

Why spin-$1/2$ objects don't have quadrupolar magnetic moment?

I'm asking myself more generally why a spin of size $S$ will feature multipolar states of degrees $k$ up to $2S$? (This implies the question in the title: spin-$1/2$ can't have any quadrupolar contrib …
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3 votes
1 answer
2k views

How the electron delocalization can lower its kinetic energy?

In covalent bonding, as in metallic bonding, the lowering in energy relative to the free-atom state is achieved by the reduction in the kinetic energy of valence electrons due to their delocalization. …
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1 vote
0 answers
265 views

How does the Wigner-Eckart theorem rule Multipole Expansion?

I am wondering why a spin-S particle have only the term up to $k=2S$ in his multipole expansion ? It seems that the Wigner-Eckart theorem shows the relation between spin and multipole expansion but I …
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