From P. Meystre's book elements of quantum optics (Many labels of equations are wrong) Page 83, the annihilation operator and creation operator, which are helpful to discuss harmonic oscillator, are defined as(adsbygoogle = window.adsbygoogle || []).push({});

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a=\frac{1}{\sqrt{2\hbar\Omega}}(\Omega q+ip),\\

a^\dagger=\frac{1}{\sqrt{2\hbar\Omega}}(\Omega q-ip).

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This definition can't satisfy anyone's physical curiosity. How we deduce these operators more naturally?

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# The physical derivation of annihilation operator?

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