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Physics
Atomic and Condensed Matter
Don't understand proof of Bloch theorem
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[QUOTE="etotheipi, post: 6405615"] Yeah, I think you're exactly right. I think they've done something along the lines of defining a tuple ##\vec{n} = (n_1, n_2, n_3)## and another tuple ##\vec{a} = (\vec{a}_1, \vec{a}_2, \vec{a}_3)##, and also defining the "##\cdot##" operation to be the sum of the pairwise products, ##\vec{n} \cdot \vec{a} = n_1 \vec{a}_1 + n_2 \vec{a}_2 + n_3 \vec{a}_3##. So it's likely there for notational convenience, like you say, and not at all related to an actual inner product or anything. Thanks for your help! [/QUOTE]
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Physics
Atomic and Condensed Matter
Don't understand proof of Bloch theorem
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