arXiv subjects

Mikhail Batanov-Gaukhman

Publications and source records attributed to Mikhail Batanov-Gaukhman.

5 recordsLinked to original sources

arXiv2022

Stochastic Approach to Determining the Mass Standard Based on the Fixed Values of Fundamental Physical Constants

It is shown that the inert properties of a stationary random process can be expressed in terms of the ratio of its correlation interval to the doubled variance. When using a fixed value of the Planck constant h as a proportionality factor, this ratio can be used as an equivalent of a mass standard. It is proposed to use thermal noise as a reference Gaussian stationary random process. The theoretical justification of the project of creating Thermal superconducting ampere balance for measuring the energy mass of an object is also given

physics.gen-ph↗

arXiv2022

Development of a Stochastic Interpretation of Quantum Mechanics by E. Nelson. Derivation of the Schrodinger-Euler-Poisson Equations

The aim of the article is to develop the stochastic interpretation of quantum mechanics by E. Nelson on the basis of balancing the intra-systemic contradiction (i.e., antisymmetry) between "order" and "chaos". For the set task, it is proposed to combine two mutually opposite system-forming principles: "the principle of least action" and "the principle of maximum entropy" into one the "principle of averaged efficiency extremum". In a detailed consideration of the averaged states of a chaotically wandering particle, the time-independent (stationary) and time-dependent stochastic Schrodinger-Euler-Poisson equations are obtained as conditions for finding the extremals of the functional of the globally averaged efficiency functional of the stochastic system under study. The resulting stochastic equations coincides with the corresponding Schrodinger equations up to coefficients. In this case, the ratio of the reduced Planck constant to the particle mass is expressed through the averaged characteristics of a three-dimensional random process in which the considered wandering particle participates. The obtained stochastic equations are suitable for describing the quantum states of stochastic systems of any scale.

physics.gen-ph↗

arXiv2021

Stochastic Model of Microparticle Scattering on a Crystal

In this paper, based on the analysis of the formula (2.2) for calculating the elastic scattering diagrams of microparticles on a multilayer crystal surface, derived by the author in the article [3], it is shown that the stochastic approach to solving the problem of scattering of elementary particles on crystals can serve as an alternative to the Louis de Broglie hypothesis about the wave properties of material particles. The results of calculations by formula (2.2), presented in this pa-per, are in good agreement with the experimentally obtained electron diffraction patterns and X-ray diffraction patterns and the Davisson-Germer experiments.

physics.gen-ph↗

arXiv2021

The Diffraction of Microparticles on Single-layer and Multi-layer Statistically Uneven Surfaces

In this article: a) a method is developed for calculating volumetric diagrams of elastic scattering of microparticles (in particular, electrons and photons) on single-layer and multi-layer statistically uneven surfaces; b) the diffraction of elementary particles on crystals is explained without involving de Broglie's idea of the wave properties of matter; c) the probability density functions of the derivative of various stationary random processes are obtained; d) volumetric diagrams of the scattering of particles and photons on homogeneous and isotropic uneven surfaces with Gaussian, uniform, Laplace, sinusoidal, and other distributions of unevenness are obtained.

physics.gen-ph↗

arXiv2020

Derivation of the Generalized Time-independent Schrodinger Equation. The New Stochastic Quantum Mechanics: Think and calculate

In this article, the following results are obtained: the process of a randomly wandering particle having a size and a continuous trajectory of motion is considered; (b) based on the study of this probabilistic process, a derivation of the Schrodinger equation is proposed; the Planck constant h is expressed in terms of the characteristics of the stationary stochastic process under consideration; the probability distribution density of the n-order derivative for a n-times differentiable stationary stochastic process is determined; it is shown that the obtained generalized Schrodinger equation is applicable not only to describe the possible states of microcosm objects, but also for discrete states of a number of macrocosm stochastic systems

physics.gen-ph↗