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A Novel Perspective For The Fractal Schrã–Dinger Equation

Author

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  • KANG-LE WANG

    (School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, P. R. China)

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.

Suggested Citation

  • Kang-Le Wang, 2021. "A Novel Perspective For The Fractal Schrã–Dinger Equation," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(04), pages 1-11, June.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:04:n:s0218348x21500936
    DOI: 10.1142/S0218348X21500936
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