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in my notes it says that

a hole has the same properties as a full band with one vacancy and so for consistency the hole must have...

(1) opposite k to the vacancy (where k is the wavevector) ie kh = -kv

(2) inverted energy (cf the vacancys energy) which occur wrt the chemical potential

etc

so is it different ways in describing the same thing? if so whats the difference on the two descriptions. Or are the completely different things? again if so, in what way?

thanks :)