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Quantization of the Free Electromagnetic Field: Photons and …

Quantization of the Free Electromagnetic Field: Photons and Operators G. M. Wysin Department of Physics, Kansas State University, Manhattan, KS 66506-2601. August, 2011, Vic osa, Brazil Summary The main ideas and equations for quantized free Electromagnetic fields are developed and summarized here, based on the Quantization procedure for coordinates (components of the vector potential A) and their canonically conjugate momenta (components of the electric field E). Expressions for A, E and magnetic field B are given in terms of the creation and annihilation operators for the fields. Some ideas are proposed for the inter- pretation of Photons at different polarizations: linear and circular. Absorption, emission and stimulated emission are also discussed. 1 Electromagnetic Fields and Quantum Mechanics Here Electromagnetic fields are considered to be quantum objects.

oscillator solutions. The above wave equation has plane wave solutions eik·r−ω kt at angular frequency ω k and wave vector k that have a linear dispersion relation, ω k = ck. For the total field in some volume V, we can try a Fourier expansion over a collection of these modes, supposing periodic boundary conditions. A(r,t) = 1 √ V X k ...

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