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## Main Question or Discussion Point

Hi,

I've just finished a 2 semester course on Quantum Mechanics and I am now eager to learn some Quantum Field Theory. I started to read some books on my own, but I have some problems understanding a few concepts.

My main problem is this:

In the Canonical Quantization procedure, we take some classical field and make the (infinite number of) positions and momenta into operators and postulate the commutation relations between them. Now if we, for example, take the real scalar field, we obtain the field operators [tex]\Phi(x)[/tex]. Since the field is real, these operators are all Hermitian and thus should correspond to an observable (by QM). The questions are: How should I interpret this observable? What does the expactation value of this operator tell me? Can I view the operator as a creation operator of a particle with a given position (in space-time)?

I've just finished a 2 semester course on Quantum Mechanics and I am now eager to learn some Quantum Field Theory. I started to read some books on my own, but I have some problems understanding a few concepts.

My main problem is this:

In the Canonical Quantization procedure, we take some classical field and make the (infinite number of) positions and momenta into operators and postulate the commutation relations between them. Now if we, for example, take the real scalar field, we obtain the field operators [tex]\Phi(x)[/tex]. Since the field is real, these operators are all Hermitian and thus should correspond to an observable (by QM). The questions are: How should I interpret this observable? What does the expactation value of this operator tell me? Can I view the operator as a creation operator of a particle with a given position (in space-time)?