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## Main Question or Discussion Point

What is exactly the creation and annihilation operator in quantum mechanics?

What its physical significance?

What its physical significance?

- Thread starter saravanan13
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What is exactly the creation and annihilation operator in quantum mechanics?

What its physical significance?

What its physical significance?

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Take a harmonic oscillator Hamiltonian like H(p,x) = p

haushofer

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In QM this can be used, for instance for the QM harmonic oscillator, to construct eigenfunctions of the Hamiltonian by acting with these creation operators on the vacuum |0>.

In quantum field theory you normally promote the field itself to be an operator in order to treat space and time as labels of these fields; after all, in special relativity they are on equal foot so you shouldn't treat one as an operator (x) and the other as a label (t) parametrizing motion.

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