6 citations · 14 across the 7 of their papers we have counts for
7 papers
Modelling Quantum Mechanical Processes by Processes Energy Distribution of Inner Oscillations of a Nanoparticle in the Phase Space
E. M. Beniaminov
We consider the problem of computing energy distribution of inner harmonic oscillations of a nanoparticle in its phase space, when the particle moves in a medium in heat equilibriu…
A Refinement of the Schrödinger Equation Involving Dissipation of Waves in the Phase Space
E. M. Beniaminov
We give an example of a mathematical model describing quantum mechanical processes interacting with medium. As a model, we consider the process of heat scattering of a wave functio…
Diffusion Scattering of Waves is a Model of Subquantum Level?
E. M. Beniaminov
In the paper, we discuss the studies of mathematical models of diffusion scattering of waves in the phase space, and relation of these models with quantum mechanics. In the previou…
Quantum Mechanics as Asymptotics of Solutions of Generalized Kramers Equation
E. M. Beniaminov
We consider the process of diffusion scattering of a wave function given on the phase space. In this process the heat diffusion is considered only along momenta. We write down the…
Quantization as Asymptotics of Diffusion Processes in the Phase Space
E. M. Beniaminov
This work is an extended version of the paper arXiv:0803.2669v1[math-ph], in which the main results were announced. We consider certain classical diffusion process for a wave funct…
Diffusion Processes in Phase Spaces and Quantum Mechanics
E. M. Beniaminov
A diffusion process for charge distributions in a phase space is examined. The corresponding charge moves in a force field and under an action of a random field. There are the diff…