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Physics
Quantum Physics
Understanding the Energy Gap and Topology in Topological Phase Transitions"
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[QUOTE="secur, post: 5450043, member: 588176"] There's a lot I don't know about the topic but I guess the simple intuitive explanation must be as follows. Topological peculiarities arise only with shapes that are not simply-connected. For instance, a torus as opposed to a sphere. There have to be two points, with two ways of connecting them, and the two paths not continuously transformable one to the other. The clearest illustration of this in QM is the Aharanov-Bohm solenoid effect. So in terms of the energy landscape there must be a "hole" or gap for topological properties to come into play. I don't know why such gap must "close and reopen" - not even sure that's true. But one way or another I think you'll find it depends on the space being not simply-connected, because of that gap. [/QUOTE]
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Quantum Physics
Understanding the Energy Gap and Topology in Topological Phase Transitions"
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