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In this page I want to know, why the equation (1.32) introduced creation and annihilation operator. Please elaborate.

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The link doesn't seem to work properly. – Qmechanic♦ Mar 1 at 12:02

closed as not a real question by user1504, Manishearth♦ Apr 10 at 16:18

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I don't really understand what's confusing you here? As far as I can see, it's just a basic procedure when you want to quantize something in qft.

You introduce creation and annihilation operators, set their respective algebra (1.31), and you have the basic set of rules you can work with.

I don't really know what that issue you are working on is about, but it's like when you want to quantize a harmonic oscillator...

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I wanted to ask that, why did they add creation and annihilation operator with the Hamiltonian? – Unlimited Dreamer Feb 16 at 18:31
Well by redefining the system with the creation and annihilation operator, you get to work with operators, so this is just the application of these rules on the above equation. See for instance this: en.wikipedia.org/wiki/Quantum_harmonic_oscillator I really don't see the real issue here (or I am not understanding what's troubling you :( ) – dingo_d Feb 16 at 18:48

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