- #1
unknownuser9
- 15
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1. Explain why <n|(a-a+)^3|n> must be zero
2. a and a+ (a dagger) are the raising and lowering operators (creation and annihilation operators).
3. Because it says explain, I am not sure any mathematical proof is needed. I am best answer is that because (ignoring that the bracket has been raised to the power 3) a+ increases the value of n by 1 and a decreases it by 1, the overall operation on n will be zero leaving <n|n>. Because n (bra) and n (ket) must be different for a transition intensity to be observed, the overlap integral of <n|n> equals zero thus the entire thing is zero. Am i on the right tracks?
Im pretty stuck so any help would be useful. Thanks in advance!
2. a and a+ (a dagger) are the raising and lowering operators (creation and annihilation operators).
3. Because it says explain, I am not sure any mathematical proof is needed. I am best answer is that because (ignoring that the bracket has been raised to the power 3) a+ increases the value of n by 1 and a decreases it by 1, the overall operation on n will be zero leaving <n|n>. Because n (bra) and n (ket) must be different for a transition intensity to be observed, the overlap integral of <n|n> equals zero thus the entire thing is zero. Am i on the right tracks?
Im pretty stuck so any help would be useful. Thanks in advance!