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

Full Article - PDF

Published: 2015-04-14

Page: 111-119


A. YUMAK *

Department of Physics, Faculty of Arts and Sciences, Marmara University, 34722 Göztepe, Istanbul, Turkey.

K. BOUBAKER *

Unité de Physique des Dispositifs à Semi-conducteurs, Tunis EL MANAR University, Tunisia.

U. YAHSI

Department of Physics, Faculty of Arts and Sciences, Marmara University, 34722 Göztepe, Istanbul, Turkey.

*Author to whom correspondence should be addressed.


Abstract

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.

Keywords: Schrödinger equation, non-relativistic electron, quantum well, Boubaker polynomials expansion scheme BPES, computed solutions, rogue-langmuir traveling wave


How to Cite

YUMAK, A., BOUBAKER, K., & YAHSI, U. (2015). SOLUTIONS TO THE POSTULATE OF ELEMENTARY PARTICLES-RELATED SCHRÖDINGER TRAVELLING WAVE DIFFERENTIAL EQUATION WITHIN MINKOWSKI SPACES. Journal of Applied Physical Science International, 2(3), 111–119. Retrieved from https://ikprress.org/index.php/JAPSI/article/view/2853

Downloads

Download data is not yet available.