arXiv subjects

Isaac Shnaid

Publications and source records attributed to Isaac Shnaid.

3 recordsLinked to original sources

arXiv2016

Non-relativistic quantum theory consistent with principle of locality

Principle of locality means that any local change (perturbation) of the stationary state wave function field propagates with finite speed, and therefore reaches distant regions of the field with time delay. If a one-particle or multi-particle non-relativistic quantum system is initially in a stationary state, and its wave function field is locally perturbed, then perturbed and non-perturbed sub-regions appear in the region. According to Schrödinger equation, borders of the perturbed sub-region propagate with infinite speed, and the perturbation instantaneously affects all infinite region. It means that Schrödinger equation predicts infinite speed of the wave function perturbations propagation. This feature of classical Schrödinger equation is traditionally interpreted as non-locality of quantum mechanics. From physical point of view, such mathematical behavior of Schrödinger equation solutions is questionable because it is difficult to accept that in real world infinite physical objects can instantaneously appear. We introduce a hypothesis that in reality speed of propagation of the perturbed sub-region borders is equal speed of light. On this basis we develop and analyze a finite propagation speed concept for non-relativistic quantum equations. It leads to local interpretation of non-relativistic quantum mechanics consistent with principle of locality and free of local hidden variables. The theory is applied to analysis of Einstein-Podolsky-Rosen (EPR) paradox, entanglement and properties of perturbed matter waves. We proved that formulated theory agrees with results of classical experiments on electron matter waves diffraction.

physics.gen-ph↗

arXiv2012

Statistical theory of perturbation waves in transport phenomena and its experimental verification

In transport phenomena, perturbation waves are a result of interaction of molecules in gases and liquids, charged particles (ions, electrons) in plasma, conduction electrons and phonons in solid bodies. General statistical theory of the perturbation waves is developed and its corollaries are studied. On this basis is proved universality of introduced earlier local time concept, which leads to a formulation of kinetic, conservation and governing equations for macroscopic transport phenomena with finite speed of the perturbations propagation in gases, liquids, solids and plasma. Speed of thermal perturbations propagation in phonon and Fermi electron gases and plasma, and also speed of thermal, momentum and mass perturbations propagation in ideal gas are theoretically determined. It is shown that published experimental results for femtosecond laser heating of thin gold films and results of power modulation experiments in JET tokamak agree with the developed theory.

physics.plasm-ph↗

arXiv2012

Modified Schrödinger equation, its analysis and experimental verification

According to classical non-relativistic Schrödinger equation, any local perturbation of wave function instantaneously affects all infinite region, because this equation is of parabolic type, and its solutions demonstrate infinite speed of perturbations propagation. From physical point of view, this feature of Schrödinger equation solutions is questionable. According to relativistic quantum mechanics, the perturbations propagate with speed of light. However when appropriate mathematical procedures are applied to Dirac relativistic quantum equation with finite speed of the wave function perturbations propagation, only classical Schrödinger equation predicting infinite speed of the wave function perturbations propagation is obtained. Thus, in non-relativistic quantum mechanics the problem persists. In my work modified non-relativistic Schrödinger equation is formulated. It is also of parabolic type, but its solutions predict finite speed of the wave function perturbations propagation. Properties of modified Schrödinger equation solutions are studied. I show that results of classical Davisson-Germer experiments with electron waves diffraction support developed theoretical concept of modified Schrödinger equation, and predict that speed of the wave function perturbations propagation has order of magnitude of speed of light.

quant-ph↗