Question:
In the context of the model of a crystal we considered in the lectures, why does the ground state of a crystal break continuous translation symmetry?
Solution:
This is the closest choice I can think of given the lecture video, I still don't really understand what is going on there.
A crystal has a periodic structure, but it is not uniform in space. Translating by some distance which is not a multiple of the lattice spacing gives a state which is different from that of the original state.
In the context of the model of a crystal we considered in the lectures, why does the ground state of a crystal break continuous translation symmetry?
Solution:
This is the closest choice I can think of given the lecture video, I still don't really understand what is going on there.
A crystal has a periodic structure, but it is not uniform in space. Translating by some distance which is not a multiple of the lattice spacing gives a state which is different from that of the original state.
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