In abstract sense, are they one and the same phenomenon? We see band gaps when we consider Bloch Waves, etc... in periodic lattice and avoided crossings can happen even if we consider classically coupled harmonic oscillators.
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1Not every avoided crossing is a band gap, but every band gap is an avoided crossing. – garyp Aug 19 '17 at 06:24
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Can you elaborate on this. – Chetan Waghela Aug 19 '17 at 07:12
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1Try this other post. – DanielSank Aug 20 '17 at 18:56