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Multiple choice
In second quantization, a free field is expanded in ladder operators a and a-dagger for each mode. Reinterpreting the oscillator quantum number n as a particle number, what roles do these operators play?
a creates a particle in that mode and a-dagger destroys one
a-dagger creates a particle in that mode and a destroys (annihilates) one
Neither operator changes particle number; they only shift the energy
Both a and a-dagger create particles; particle number can only increase
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