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Attached is a derivation of the equation of motion for the fundamental fermionic anihillation opeator but I am having a bit of trouble with the notation.
Does the notation Vv2-v and the other V_ simply mean that all terms in the sum of q have canceled except for when q=v2-v or v-v1?
And second of all: Isn't the middle equation wrong for v=v1? Because then to move the av1 you only have to anticomutte it once which yields a minus sign which is not canceled out by further anticommuting it.
Does the notation Vv2-v and the other V_ simply mean that all terms in the sum of q have canceled except for when q=v2-v or v-v1?
And second of all: Isn't the middle equation wrong for v=v1? Because then to move the av1 you only have to anticomutte it once which yields a minus sign which is not canceled out by further anticommuting it.