Conformable Schrödinger equation in D-dimensional space

Abstract

In this paper, we investigate a time-dependent conformable Schrödinger equation of order 0 < β ≤ 1, in fractional space domains of space dimension, 0 < D_s ≤ 3. We examine a specific example within the realm of free particle conformable Schrödinger wave mechanics, focusing on both N-Polar and N-Cartesian coordinates systems. We find that the conformable quantities align with the regular counterparts when β = 1.

Keywords

Conformable derivative / Schrödinger equation / D-dimensional space / Fractional space

Funding

None.

Declaration of competing interest

The authors declare that they have no conflict of interest regarding the publication of this article.

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