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

Abstract

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.

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

“…On the basis of the above stated general method of construction of wave function of a free photon in coordinate representation in [1][2][3][4] the most important wave packet in scientific and methodical aspects with Gaussian momentum distribution is considered, namely with the coefficients…”

“…The purpose of this paper is to make the first step in the direction to correct this situation. Namely, based on illustrative results of the previous [1][2][3][4][5] modeling of the space-time propagation of the photon wave packet corresponding to a short-pulse laser radiation, we will offer below an explanation of the occurrence of an interference pattern with single photons in the experiment of type of the two-slit interference Young's experiment, having applied with respect to the photon the concept of wave function in coordinate representation. Nevertheless, we will specify further that this concept characterizes the photon only conditionally, owing to the fact that it still can't be considered as the certain created particle-corpuscle.…”