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Saturday, April 25, 2015

Exploring Quantum Physics - Week 4 Question 5

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.

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