A Novel Hypothesis for Quantum Physics, Model with Telegraphs Equation

Abstract

The article describes numerical model of basic structures in quantum physics. It was tested on the basic conflguration of the electron beam and it was verifled in Institute of Scientiflc Instruments Academy of Sciences of the Czech Republic experimentally. We had prepare the numerical model which was based on the particle theory. We prepared model which respects classical Electrodynamics. Numerical results were evaluated. The second model was prepared in respect to theory of wave packet (Louis de Broglie and Material Wave Theory (MWT)) and solved again. Results of both models were the similar, same in their quality, we evaluated electric fleld intensity E on the electron impact area, and they corresponded with results from experiments. In order to attempt | in modeling the H2O elementary molecule and the subsequent high quan- tity of H2O in the electric fleld | to obviate the problems resulting from quantum mechanics (1), a simple task was created and solved using the flnite element method (2). The main reason consists in the fact that, using the above hypothesis (1), it is not possible to formulate the problem with a flnite number of the degrees of freedom (the problem of a variable quantity of particles) or the problem of relation between the electric fleld and the particles (a Lorentz force efiect and tran- sitory stages of elementary particles, dynamic behaviour of particles and other items). Referring now back to the main task, the flrst step consisted in creating a numerical model based on the quantum mechanics hypothesis with an elementary model in the form of a difiusion equation | the Schrodinger equation. The numerical model simulated the reality that had been experimentally verifled in the 1960s. Then, we created a numerical model that is rather more complicated in terms of formulation: the formulation in question is realized using the telegraph equation, therefore it is a difiusion equation complemented with an element with second partial derivative. This model | based on the Material Wave Theory (MWT) flrst published by de Broglie | is however capable of solving transient conditions and the dynamics of the elementary structure of matter. The testing (1) has proved that the model is applicable. Nevertheless, there were certain variations in the testing due to the failure to simulate for identical conditions the task formulated with the help of quantum mechanics and the telegraph equation. Here, the conditions were merely approximate. Yet, based on the surprisingly proximate results, these models are being reflned and they are expected to reach a substantially higher degree of conformity. At this point we would like to attempt to brie∞y describe the formulated hypothesis, the model of the basic elements of matter behaviour, which is based on solving partial difierential equations of a dimension higher than the difiusion equation | the Schrodinger equation. 2. HYPOTHESIS The working hypothesis for quantum mechanics, based on the reduced difiusion equation