The quantum oscillator model of electromagnetic excitations revisited

• URL: http://arxiv.org/abs/2312.06870v1
• Date: Mon, 11 Dec 2023 22:31:21 GMT
• Title: The quantum oscillator model of electromagnetic excitations revisited
• Authors: Margaret Hawton
• Abstract summary: Hermitian field operators describe photon-antiphoton pairs that couple locally to Fermionic matter and can be modeled classically. Their commutation relations define a scalar product that can be the basis of a first quantized theory of single photons.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We revisit the quantum oscillator model of the electromagnetic field and conclude that, while the nonlocal positive and negative frequency ladder operators generate a photon Fock basis, the Hermitian field operators obtained by second quantization of real Maxwell fields describe photon-antiphoton pairs that couple locally to Fermionic matter and can be modeled classically. Their commutation relations define a scalar product that can be the basis of a first quantized theory of single photons. Since a one-photon state collapses to a zero-photon state when the photon is counted, the field describing it must be interpreted as a probability amplitude.

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