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arXiv · 2312.15700

Conformable Schr\"odinger Equation in D-dimensional space

Eqab. M. Rabei·Mohamed Ghaleb Al-Masaeed·Sami I. Muslih·Dumitru Baleanu
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Abstract

In this work, we extend the time-dependent conformable Schr\"odinger equation for a fractional dimensional system of N spatial coordinates to be used as an effective description of anisotropic and confined systems. A specific example is looked at in free particle conformable Schr\"odinger wave mechanics, particularly in N-Polar coordinates and N-Cartesian coordinates systems. The quantities of the conformable form are found to be in exact agreement with the corresponding traditional quantities when $\beta=1$

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Eqab. M. Rabei, Mohamed Ghaleb Al-Masaeed, Sami I. Muslih, Dumitru Baleanu. 2023-12-25. Conformable Schr\"odinger Equation in D-dimensional space. https://doi.org/10.36922/ijocta.1586

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