A NOVEL PERSPECTIVE FOR THE FRACTAL SCHRÖDINGER EQUATION

Kang-Le Wang ()
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Kang-Le Wang: School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, P. R. China

FRACTALS (fractals), 2021, vol. 29, issue 04, 1-11

Abstract: In this work, the Schrödinger equation is described by the fractal derivative, and its variational principle is obtained by using the fractal semi-inverse method. The variational principle is helpful to research the construction of the solution. The approximate analytical solution of the fractal Schrödinger equation is obtained based on the proposed variational approach and the fractal two-scale transform method. Finally, an example shows that the proposed approach is very fascinating in deal with nonlinear fractal models.

Keywords: Schrödinger Equation; Fractal Derivative; Fractal Semi-Inverse Method; Two-Scale Transform Method; Variational Iteration Method (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:29:y:2021:i:04:n:s0218348x21500936

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DOI: 10.1142/S0218348X21500936

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