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The Malus law in the quantum electrodynamics

Andrey Nikolaevich Volobuev

Published Apr 1, 2015• 0 citations
OpenAlex

Abstract

It is shown that the Malus law based on the principles of classical electrodynamics not completely takes into account all effects which can occur at passage of a linearly polarized light through the analyzer. On the basis of the quantum representations about the nature of light the form of Malus law which is taking into account transfer of a part of a photon impulse to particle on which occurs reradiation of light forward is found. Calculations are carried out within the framework of the perturbations theory with use of the Feynman diagram technics.

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Journal of Physics Conference Series•Nov 1, 2020•7 citations
It is shown that the Malus law based on the principles of classical electrodynamics not completely takes into account all effects which can occur at passage of a linearly polarized light through the analyzer. On the basis of the quantum representations about the nature of light the form of Malus law which is taking into account transfer of a part of a photon impulse to particle on which occurs reradiation of light forward is found. Calculations are carried out within the framework of the perturbations theory with use of the Feynman diagram technics.
The light propagation through system a polarizer-analyzer is investigated on the basis of quantum conceptions about the nature of light. It is shown, that Malus law based on principles of classical electrodynamics not completely takes into account all effects which can occur at the light propagation through system a polarizer-analyzer. The phenomenon of possible change of frequency of light in particular drops out, for example in the region of X-ray radiation. The deduction of Malus law based on quantum principles is given. For comparison the differential effective section of interaction of a photon and electron with take into account of rotation of a plane of polarization of a photon in Compton’s effect is found.
This work is part of a reconstruction of quantum mechanics from scratch with the aim to understand what it means. In previous work we have shown that the Dirac equation can be derived by classical reasoning just using relativity and group theory. This implies that contrary to common belief quantum mechanics (QM) is not magical or radically different from classical mechanics. It is also not incompatible with the theory of relativity but completely part of it. As the experimental violations of the Bell inequalities seem to take exception with this general scheme for making sense of QM we have scrutinized the derivation of the Bell inequalities to figure out the limitations of our approach. We were able to show that the derivation contains a logical error based on wrong modelling. In the present paper we complete this investigation by showing that Malus' law can be derived by classical reasoning using group representation theory, both for electrons and photons. This is a further, be it somewhat more indirect proof that the derivation of the Bell inequalities contains an error. But more importantly it shows that the philosophy of our approach remains intact, by proving that we can also understand Malus' law with our methods and thereby validating our approach also for this physical phenomenon.
Известный в классической электродинамике закон Малюса, но постулируемый в аппарате квантовых расчетов с однофотонными состояниями, обосновывается в рамках квантовой механики фотона. The Malus law known in classical electrodynamics, but postulated in the apparatus of quantum calculations with singlephoton states, is justified within the framework of quantum mechanics of photon.
We analyze the behavior of light as it passes through systems composed of polarizing filters at different angular orientations. The analysis is initially conducted in the context of classical optics, using Malus's Law to calculate the transmitted intensity for the cases of two perpendicular filters (0° and 90°) and three filters (0°, 45°, and 90°). We then apply quantum mechanics to describe the phenomenon using state notation and the probabilistic interpretation of the projection of the polarization states of photons.
Abstract The method developed in previous works for building the photon wave function in configuration representation is briefly described. The simulation of such function (wave packet) appropriate to femtosecond laser radiation, using the distribution of Gauss of photon momenta in the state of a single laser impulse is expounded. By other appropriate simulated wave function of photon the light interference in Young’s experiment is explained within the frame of quantum mechanics without the attraction of transition probability amplitudes used in approach of quantum electrodynamics. This allows us considering interference phenomena for photons and particles from the same basis of the quantum-mechanical principle of superposition employed to the wave function built in the configuration space. Using the building apparatus of photon quantum mechanics, the Malus law postulated in quantum theory is justified. The relevance of new experiments to study the interaction of quantum objects between themselves and the physical vacuum, which would reveal the origins of the mathematical description of quantum states using the wave function of these quantum objects, is substantiated. It is suggested that the ideas of constructing the wave function of a free photon in the coordinate representation can find relevance in the field of quantum cryptography.