An approximate solution for casimir oscillator equation using laplace decomposition method

Amer D. Aloqali; Emad K. Jaradat; Wajd Habashneh

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An approximate solution for casimir oscillator equation using laplace decomposition method

Author(s)

Amer D. Aloqali Department of Physics, Mutah University, Al-Karak , Jordan

Emad K. Jaradat Department of Physics, Mutah University, Al-Karak , Jordan

Wajd Habashneh Department of Physics, Mutah University, Al-Karak , Jordan

Abstract

In quantum field theory, unavoidable roles are having on the operation of micromechanical system. One of the quantum phenomena that have these roles is the Casimir effect ]1[ . In present paper, we study a simple linear harmonic micro spring that is under the influence of the Casimir pressure/force. It is behaving as an anharmonic-nonlinear Casimir oscillator. Since the equation of motion of this nonlinear-micromechanical Casimir oscillator has no precise solvable solution and turning points of the system have no fixed points we consider the Laplace decomposition method for obtaining series solutions of nonlinear oscillator differential equations. The equations are Laplace transformed and the nonlinear Casimir effect terms are represented by Adomian's polynomials. The results illustrate that Laplace decomposition method is an appropriate method in solving the highly nonlinear equations.

Publication Details

Page(s) 1-3

DOI DOI not available

Published Journal: Science International, Volume: 33, Issue: 1, Year: 2021

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Keywords

Nonlinear oscillator, Laplace transform, Laplace Decomposition method, Casimir effect, Adomian's polynomials