The Young's Interference Experiment in the Light of the Single-photon Modeling of the Laser Radiation

Davydov, Alexandr; Zlydneva, Tatiana

doi:10.2991/itsmssm-16.2016.100

Cited by 7 publications

(9 citation statements)

References 18 publications

(21 reference statements)

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“…1b), entering the observation point P on second screen. In [1] the idea was introduced that similar phase…”

Section: The Young's Interference Experimentsmentioning

confidence: 99%

“…is available in each term of the photon wave function (1). If the radiation is more or less monochromatic, then in the expression for the probability density (3), obviously, arises the member proportional to the cosine of the phases difference ) (…”

Section: Advances In Computer Science Research (Acsr) Volume 72mentioning

confidence: 99%

“…Taking into account it, let us write down the wave function of a photon passing "through both holes" at the first screen in Young's experiment, as the sum of two terms, each of which has the form (75):  are set equal to zero, and 1 r и 2 r are the distances from the holes to the interference observation point P on the second screen (apart from the first screen at a distance ).…”

Section: Advances In Computer Science Research (Acsr) Volume 72mentioning

confidence: 99%

“…,  characterize the average values and the dispersions of the corresponding physical quantities in the state of a photon (1) and satisfy the normalization condition (2).…”

Section: Modeling Of Short-puls Laser Radiationmentioning

confidence: 99%

“…In relation to wave phenomena of light, such as its interference in Young's experiment, the wave approach of classical electrodynamics is still applied. In [1], on the basis of the illustration of results of modeling in [2][3][4][5][6] of propagation in space-time of the photon wave packet corresponding to short-pulse laser radiation, a general idea was suggested for explaining of emergence of the interference with single photons in Young's double-slit experiment, using the photon wave function in coordinate representation. The purpose of this article is to take the next step in this direction.…”

Section: Introductionmentioning

confidence: 99%

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The Modeling of the Young's Interference Experiment in terms of Single-photon wave function in the coordinate representation

Davydov¹,

Zlydneva²

2017

Proceedings of the IV International Research Conference "Information Technologies in Science, Management, Social Sphere and Med

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Abstract-The main principles of photon quantum mechanics describing its one-particle states with the help of the wave function in coordinate representations are given. This wave function (packet) is the superposition of the basic bivectors that are generalized eigenfunctions of energy, momentum, and helicity operators. The quantum-mechanical approach is offered for an explanation of the interference Young's experiment. This explanation is especially important for new interpretation of the non-laser method of obtaining the interference by the amplitude division, as in this case it is traditionally assumed that the radiation of one light train of a single atom interferes with itself. In our explanation, not both "halves" of some real train ("scrap") of the electromagnetic wave interfere with each other, but the both terms of the photon's wave function do this. Nevertheless, the wave function is not directly measured by experience, and therefore it does not exist as a physical object. The attraction of the wave function to the explanation of single-photon interference obtained "by the division of the wave front" is obviously also necessary. Therefore, the situation for the photons emitted by individual atoms (and also, obviously, by laser), is absolutely similar to the situation with the particles having mass, whose distribution in space is described by wave function in coordinate representation. It is pointed out that in fact the photon is not some "formed" quantum particle, but it is a quasi-particle arising when a certain spin wave propagates in a physical vacuum at Planck distances.

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“…1b), entering the observation point P on second screen. In [1] the idea was introduced that similar phase…”

Section: The Young's Interference Experimentsmentioning

confidence: 99%

Section: Advances In Computer Science Research (Acsr) Volume 72mentioning

confidence: 99%

Section: Advances In Computer Science Research (Acsr) Volume 72mentioning

confidence: 99%

“…,  characterize the average values and the dispersions of the corresponding physical quantities in the state of a photon (1) and satisfy the normalization condition (2).…”

Section: Modeling Of Short-puls Laser Radiationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The Modeling of the Young's Interference Experiment in terms of Single-photon wave function in the coordinate representation

Davydov¹,

Zlydneva²

2017

Proceedings of the IV International Research Conference "Information Technologies in Science, Management, Social Sphere and Med

Self Cite

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On numerical and approximate analytical modeling of single- and two-photon Young's experiment using the photon coordinate wave function

Davydov,

Zlydneva

2024

E3S Web Conf.

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In modern areas of photonics, the physical description of the interaction of photons with matter in the control, transmission and registration of single-photon and two-photon states implemented in practice is of great importance. An appropriate acceptable description may be faced with the need to take into account various kinds of interference effects associated with these states. Meanwhile, even the most “simple” case of single-photon interference in Young's experiment requires the use of a rather complex apparatus of quantum electrodynamics. This article explains one- and two-photon interference in Young's thought experiment based on the photon wave function (PWF) in coordinate representation. This explanation is illustrated by two examples of wavelengths: 10.6 μm and 1.5 cm. For both examples, two approaches to PWF modeling are used: “purely quantum-mechanical” and “quasi-classical”. In the first approach, a 6-component coordinate PWF is constructed using a spherically symmetric momentum distribution in a wave packet, followed by numerical and approximate analytical calculations. In the second approach, a one-component “quasi-classical” PWF is constructed, which corresponds to either electric dipole radiation or simulated spherically symmetric radiation. In all cases, the same pronounced interference pattern was obtained, which allows us to conclude that not only the quantum-mechanical coordinate PWF is able to explain the phenomena of one- and two-photon interference, but also a much simpler “quasi-classical” PWF. This conclusion sheds light on the theoretical interpretation of the measurement of the coordinate PWF in some recent experiments.

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On simulation of the photon wave function to explain the Young’s experiment and prospects for its use in quantum cryptography

Davydov

Zlydneva

2020

J. Phys.: Conf. Ser.

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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.

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The Young's Interference Experiment in the Light of the Single-photon Modeling of the Laser Radiation

Cited by 7 publications

References 18 publications

The Modeling of the Young's Interference Experiment in terms of Single-photon wave function in the coordinate representation

The Modeling of the Young's Interference Experiment in terms of Single-photon wave function in the coordinate representation

On numerical and approximate analytical modeling of single- and two-photon Young's experiment using the photon coordinate wave function

On simulation of the photon wave function to explain the Young’s experiment and prospects for its use in quantum cryptography

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