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Mathematical Models of Photons

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Abstract

Mathematics from the electromagnetic field quantization procedure and the soliton models of photons are used to construct a new 3D model of photons. Besides the interaction potential between the charged particle and the photons, which contains the annihilation and creation operators of photons, the new function for a description of free propagating photons is derived. This function presents the vector potential of the field, the function is a product of the harmonic oscillator eigenfunction with the well-defined coordinate of the oscillator and the Gaussian function of the polar radius in the transverse direction. In the article, the difference between the quantum mechanics of particles and photons is discussed.

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Acknowledgements

RV has been supported by ERDF project No. 1.1.1.1/18/A/155.

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Authors and Affiliations

  1. Institute of Atomic Physics and Spectroscopy, University of Latvia, Raina Blvd. 19, Riga, 1586, Latvia

    Imants Bersons & Rita Veilande

  2. Engineering Faculty, Vidzeme University of Applied Sciences, Cesu Street 4, Valmiera, 4201, Latvia

    Ojars Balcers

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  1. Imants Bersons
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  2. Rita Veilande
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  3. Ojars Balcers
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Correspondence to Rita Veilande.

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Bersons, I., Veilande, R. & Balcers, O. Mathematical Models of Photons. Found Phys 53, 78 (2023). https://doi.org/10.1007/s10701-023-00708-8

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