Prove the assertion made in the text that the total electromagnetic energy of a lossless resonant cavity
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Prove the assertion made in the text that the total electromagnetic energy of a lossless resonant cavity can be put in the form of the total mechanical energy of a collection of undamped harmonic oscillators. Identify the electric and magnetic contributions explicitly. Assume that the vector potential mode functions Aλ(r) are normalized in the cavity volume.
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