English

Conformable Schr\"odinger Equation in D-dimensional space

Quantum Physics 2025-02-11 v1

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 β=1\beta=1

Keywords

Cite

@article{arxiv.2312.15700,
  title  = {Conformable Schr\"odinger Equation in D-dimensional space},
  author = {Eqab. M. Rabei and Mohamed Ghaleb Al-Masaeed and Sami I. Muslih and Dumitru Baleanu},
  journal= {arXiv preprint arXiv:2312.15700},
  year   = {2025}
}
R2 v1 2026-06-28T14:01:31.582Z