arXiv:physics/0610224 · Physics Essays

Derivation of the Schrödinger equation based on a fluidic continuum model of vacuum and a sink model of particles

Xiaosong Wang

Published Sep 11, 2014• 5 citations

Abstract

We propose a fluidic continuum model of vacuum and a sink flow model of microscopic particles. The movements of a microscopic particle driven by a stochastic force was studied based on stochastic mechanics. We show that there exists a generalized Schrödinger equation for the microscopic particle.

DOI: 10.4006/0836-1398-27.3.398

Related papers

Derivation of the Schr\"{o}dinger equation from Newton's Second Law Based on a Fluidic Continuum Model of Vacuum and a Sink Model of Particles

Xiaosong Wang

We speculate that quantum phenomena may be caused by the interactions between the particles and a fluid filling the universe which may be called aether or tao. Following the same method of Nelson's stochastic mechanics, we show that the Schr\\"{o}dinger equation can be derived from Newton's second law based on a hypothesis about the random force exerted on particles.

Oct 25, 20060 citations

A model for the stochastic origins of Schrödinger’s equation

Mark P. Davidson

A model for the motion of a charged particle in the vacuum is presented which, although purely classical in concept, yields Schrödinger’s equation as a solution. It suggests that the origins of the peculiar and nonclassical features of quantum mechanics are actually inherent in a statistical description of the radiative reactive force.

Journal of Mathematical PhysicsSep 1, 197936 citations

A model for the stochastic origins of Schrodinger's equation

Mark P. Davidson

A model for the motion of a charged particle in the vacuum is presented which, although purely classical in concept, yields Schrodinger's equation as a solution. It suggests that the origins of the peculiar and nonclassical features of quantum mechanics are actually inherent in a statistical description of the radiative reactive force.

arXiv:quant-ph/0112157Dec 25, 20010 citations

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

Mikhail Batanov-Gaukhman

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

arXiv:1702.01880Feb 7, 20173 citations

Quantum mechanical motion of classical particles

V. D. Rusov, Konstantin Alexandrovich Lukin

The Schrödinger equation for the particle wave function introduced via its action was derived from Newton equation for a point-like particle moving under effect of both potential force and fluctuation-dissipative environment, provided considering only stable motion of the particle. The model considered assumes existence of wave function as a physical field rather than just a mathematical abstraction.

Journal of Physics Conference SeriesMay 10, 20120 citations

A new look at the derivation of the Schrödinger equation from Newtonian mechanics

L. Fritsche, M. Haugk

We present a modified version of Nelson's seminal paper on the derivation of the time-dependent Schrödinger equation which draws on the equation of motion of a particle that moves under the influence of a classical force field and additional stochastic forces. The emphasis of our elaboration is focused on the implication of allowing stochastic forces to occur, viz. that the energy E of the particle is no longer conserved on its trajectory in a conservative force field. We correlate this departure Δ E from its classical energy with the energy/time uncertainty relation where Δ t is the average time for Δ E to persist. The stability of atoms, the zero-point energy of oscillators, the tunneling effect and the diffraction at slits are shown to be directly connected with the occurrence of such energy fluctuations. We discuss and rederive Nelson's theory entirely from this point of view and generalize his approach to systems of N particles which interact via pair forces. Achieving reversibility in a description of particle motion that is akin to Brownian motion, represents a salient point of the derivation. We demonstrate that certain objections raised against Nelson's theory are without substance. We also try to put the particular worldview of this version of stochastic quantum mechanics into perspective with regard to the established Copenhagen interpretation.

Annalen der PhysikJul 9, 200334 citations