Development and refinement of the Variational Method based on Polynomial Solutions of Schrödinger Equation

Abstract: The variational method is known as a powerful and preferred technique to find both analytical and numerical solutions for numerous forms of anharmonic oscillator potentials. In the present study, we considered certain conditions for the choice of the trial wave function. The current form of the trial wave function is based on the possible polynomial solutions of the Schrödinger equation. The advantage of our modified variational method is its ability to reduce the calculation steps and hence computation time. Also, we compared the results provided by our modified method with the results obtained by different methods in general but particularly Numerov method for the same problem.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Development and refinement of the Variational Method based on Polynomial Solutions of Schrödinger Equation ; volume:10 ; number:1 ; year:2020 ; pages:415-423 ; extent:9
Open engineering ; 10, Heft 1 (2020), 415-423 (gesamt 9)

Creator
Maiz, Fethi

DOI
10.1515/eng-2020-0052
URN
urn:nbn:de:101:1-2412141554498.237296930887
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:32 AM CEST

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Associated

  • Maiz, Fethi

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