Article ID Journal Published Year Pages File Type
1809603 Physica B: Condensed Matter 2014 4 Pages PDF
Abstract

New and simple numerical method is being reported to solve anharmonic oscillator problems. The method is setup to approach the real potential V(x)V(x) of the anharmonic oscillator system as a piecewise linear potential u(x) and to solve the Schrödinger equation of the system using the Airy function. Then, solutions continuity conditions lead to the energy quantification condition, and consequently, the energy eigenvalues. For testing purpose, the method was applied on the sextic and octic oscillators systems. The proposed method is found to be realistic, computationally simple, and having high degrees of accuracy. In addition, it can be applied to any form of potential. The results obtained by the proposed method were seen closely agreeing with results reached by other complicated methods.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Condensed Matter Physics
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