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N-slit quantum interference via undulatory photons

Francisco Duarte

Published May 21, 2025• 0 citations
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Abstract

It is indicated that N-slit quantum interference can be correctly and completely described via the wave functions of ‘ordinary wave optics’ à la Dirac. Here, an interferometric outline is given that includes the measurement process at the detector. This approach utilizes a description of the photon as a nonlocal wavy form of energy. It is emphasized that the spatial features of N-slit interferograms are nicely explained by standard Diracian quantum mechanics without the need to introduce new theoretical states of light.

DOI
10.1364/opticaopen.29104721.v2

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It is indicated that N-slit quantum interference can be correctly and completely described via the wave functions of ‘ordinary wave optics’ à la Dirac. Here, an interferometric outline is given that includes the measurement process at the detector. This approach utilizes a description of the photon as a nonlocal wavy form of energy. It is emphasized that the spatial features of N-slit interferograms are nicely explained by standard Diracian quantum mechanics without the need to introduce new theoretical states of light.
It is indicated that N-slit quantum interference can be correctly and completely described via the wave functions of ‘ordinary wave optics’ à la Dirac. Here, an interferometric outline is given that includes the measurement process at the detector. This approach utilizes a description of the photon as a nonlocal wavy form of energy. It is emphasized that the spatial features of N-slit interferograms are nicely explained by standard Diracian quantum mechanics without the need to introduce new theoretical states of light.
It is indicated that N-slit quantum interference can be correctly and completely described via the wave functions of ‘ordinary wave optics’ à la Dirac. Here, an interferometric outline is given that includes the measurement process at the detector. This approach utilizes a description of the photon as a nonlocal wavy form of energy. It is emphasized that the spatial features of N-slit interferograms are nicely explained by standard Diracian quantum mechanics without the need to introduce new theoretical states of light.
It is indicated that N-slit quantum interference can be correctly and completely described via the wave functions of ‘ordinary wave optics’ à la Dirac. Here, an interferometric outline is given that includes the measurement process at the detector. This approach utilizes a description of the photon as a nonlocal wavy form of energy. It is emphasized that the spatial features of N-slit interferograms are nicely explained by standard Diracian quantum mechanics without the need to introduce new theoretical states of light.
A recently proposed model of the Dirac electron, which has been shown to describe several observed properties of the particle correctly, is in the present paper shown to be also able to explain quantum interference by classical probabilities. According to this model, the electron is not point-like, but rather an “entity with structure”, formed by a fast periodic motion of a “light-like object”, whose momentum (p) causes the angular momentum responsible for the spin, and whose energy (E = pc) is equal to the energy of the electron, mc2. A qualitative description of the model is given, together with the quantitative formulae that allow to discuss interference. Applied to the experimental situation of the “two-slit” experiment, the formulae yield the same time dependence of the detection probability as the quantum mechanical treatment, and hence the same interference pattern. In contrast to quantum mechanics, the pattern is due to “particle interference” rather than to “wave interference”. No wave-particle paradox arises. The merits of the model are summarized, and its physical content discussed.
Quantum interference, which is a physical phenomenon, and probability amplitudes à la Dirac are miraculously like synonyms. Indeed, the way probability amplitudes are written down on paper is very much as a single photon, or an ensemble of indistinguishable photons, propagates from one plane to the next. And then, if at one of the planes an N -slit array alternative is offered then the probability amplitude notation à la Dirac cleverly describes the N -path alternative via a mathematical summation. Here we should emphasize that since the photon is a nonlocal quantum entity, all the microscopic slits in the N -slit array, or transmission diffraction grating, are illuminated simultaneously.
It is explained that, in an N-slit experimental configuration the so called ‘collapse of the wave function’ is an unnecessary concept. The explanation begins going back to the original words of Heisenberg on the reduction of the wave packet and continues while considering the measurement process in an N-slit interferometer. In this regard, it is articulated that a clean and direct transition from the superposition probability amplitude to the probability distribution is all that is needed. The discussion includes measurable decoherence in the interferometric domain and the Diósi-Penrose hypothesis.