Electromagnetism as Quantum Physics View Full Text


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Article Info

DATE

2019-03-19

AUTHORS

Charles T. Sebens

ABSTRACT

One can interpret the Dirac equation either as giving the dynamics for a classical field or a quantum wave function. Here I examine whether Maxwell’s equations, which are standardly interpreted as giving the dynamics for the classical electromagnetic field, can alternatively be interpreted as giving the dynamics for the photon’s quantum wave function. I explain why this quantum interpretation would only be viable if the electromagnetic field were sufficiently weak, then motivate a particular approach to introducing a wave function for the photon (following Good in Phys Rev 105(6):1914–1919, 1957). This wave function ultimately turns out to be unsatisfactory because the probabilities derived from it do not always transform properly under Lorentz transformations. The fact that such a quantum interpretation of Maxwell’s equations is unsatisfactory suggests that the electromagnetic field is more fundamental than the photon. More... »

PAGES

1-25

References to SciGraph publications

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  • 1999-12. Photon Wave Mechanics: A De Broglie-Bohm Approach in FOUNDATIONS OF PHYSICS LETTERS
  • 1974-11. About a dirac-like equation for the photon according to ettore majorana in LETTERE AL NUOVO CIMENTO (1971-1985)
  • 1999-08. A Relativistic Schrödinger-like Equation for a Photon and Its Second Quantization in FOUNDATIONS OF PHYSICS
  • 1930-03. Quantenelektrodynamik im Konfigurationsraum in ZEITSCHRIFT FÜR PHYSIK
  • 1930-03. Zur Wellentheorie des Lichtquants in ZEITSCHRIFT FÜR PHYSIK
  • 2017. Foundations of Quantum Mechanics in NONE
  • 1987. H.A. Kramers Between Tradition and Revolution in NONE
  • 1980. General Principles of Quantum Mechanics in NONE
  • Journal

    TITLE

    Foundations of Physics

    ISSUE

    N/A

    VOLUME

    N/A

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10701-019-00253-3

    DOI

    http://dx.doi.org/10.1007/s10701-019-00253-3

    DIMENSIONS

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    50 schema:description One can interpret the Dirac equation either as giving the dynamics for a classical field or a quantum wave function. Here I examine whether Maxwell’s equations, which are standardly interpreted as giving the dynamics for the classical electromagnetic field, can alternatively be interpreted as giving the dynamics for the photon’s quantum wave function. I explain why this quantum interpretation would only be viable if the electromagnetic field were sufficiently weak, then motivate a particular approach to introducing a wave function for the photon (following Good in Phys Rev 105(6):1914–1919, 1957). This wave function ultimately turns out to be unsatisfactory because the probabilities derived from it do not always transform properly under Lorentz transformations. The fact that such a quantum interpretation of Maxwell’s equations is unsatisfactory suggests that the electromagnetic field is more fundamental than the photon.
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