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Following electromegnetic field quantization, one ends up with the fock states as the energy eigenstates

of the quantized field. Considering a single mode field, the set of fock states are the single-mode energy eigenstates. Yes, these fock (or number) states are just the eigenstates of the corresponding Hamiltonian

that takes the form of an Harmonic oscillator's Hamiltonian.

Now, formally, a fock state, |n>, can be projected on the position eigenstates, <q|n>, and one ends up with

a wavefunction in coordinate representation, which resembles the eigenfunctions of a quantum-mechanical Harmonic oscillator (only now, in the case of EM field, nothing has mass).

My question is: What do these wavefunctions, in the coordinate representation, represent?

What is the physical interpretation of these wavefunctions, psi(q), for the quantized EM field?

The probabilitiy of WHAT they represent, with respect to coordinate-space?

David

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# Wavefunction of quantzed field states

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