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Description of Elementary Particles by Stable Wave Packets - A New Attempt

Manfred Buth

Published Nov 1, 2015• 0 citations
OpenAlex

Abstract

The attempt of Schrodinger to describe elementary particles by wave packets is repeated by means nowadays available, that is to say, by applying the results of quantum field theory and especially by the explicit consideration of interaction.

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SOLUTIONS TO THE POSTULATE OF ELEMENTARY PARTICLES-RELATED SCHRÖDINGER TRAVELLING WAVE DIFFERENTIAL EQUATION WITHIN MINKOWSKI SPACES

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Journal of applied physical science international•Apr 14, 2015•0 citations

Elementary particles in an introductory course on quantum mechanics

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Abstract I review popular definitions of elementary particles and argue that their description as excitations of quantum fields has its place in an introductory course on quantum mechanics at universities and can be further simplified to satisfy curiosity of motivated high school students.

Journal of Physics Conference Series•Mar 1, 2026•0 citations
The one-particle Schrödinger and Dirac equations are derived, without making any quantization hypothesis, from the postulate that an elementary particle is a physical wave packet of dynamically varying form and size, rather than a pointlike object located somewhere within the support of a wavefunction that serves only as a mathematical probability amplitude. An isolated multiparticle system can, similarly, be described in principle as a set of interacting wave packets governed by coupled one-particle equations, a picture from which, in the nonrelativistic limit, the multiparticle Schrödinger equation can be obtained as a sufficiency condition for the system to have a conserved total energy equal to a particular value E .
The basic concepts of space and time have undergone radical changes in the course of history, which render the Newtonian notions of elementary particles obsolete. This was inherent in the formulations of quantum mechanics, as the zitterbewegung of quantum-mechanical free particles are not the same as that of classical ones. The quantum field theories do not fare any better as particles and the corresponding fields are inseparable concepts. As physical concepts are becoming fuzzy, the definition of what constitutes an experimental "discovery" of an elementary particle is being revised. In these attempts, the quasi-particles, which are simple mathematical conveniences, tend to be reclassified as physical entities. The current model depictions of physical vacuum as superconducting medium do not accommodate a picture of elementary particles as individual entities. It is a situation where interactions and interactants become entangled and description of either one independent of the other is unattainable.
In this paper, we present a computed solution of partial differential equations for the wave-packets in the Minkowski 4-dimensional spaces, outlining relationship with the Schrödinger equation for the elementary particles. We try to show, through computed results that the Schrödinger equation does not describe the propagation of a single wave- packet of an elementary particle but to the stream of particles. Because of that it has only a statistical meaning that can be applied to the stream of particles and discuss its common probabilistic interpretation and application to a single particle. That is, it is not a wave description of a single particle, but represents only its probabilistically determined position in a given space. Investigations on travelling wave solutions gave evidence to the possibility of implementing continuous solutions for a quantum-based problem.