Conformable Schrödinger Equation in D-dimensional space

Fuente: arXiv
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Bibliographic Details
Main Authors: Rabei, Eqab. M., Al-Masaeed, Mohamed Ghaleb, Muslih, Sami I., Baleanu, Dumitru
Format: Preprint
Published: 2023
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author Rabei, Eqab. M.
Al-Masaeed, Mohamed Ghaleb
Muslih, Sami I.
Baleanu, Dumitru
author_facet Rabei, Eqab. M.
Al-Masaeed, Mohamed Ghaleb
Muslih, Sami I.
Baleanu, Dumitru
contents In this work, we extend the time-dependent conformable Schrödinger 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 Schrödinger 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 $β=1$
format Preprint
id arxiv_https___arxiv_org_abs_2312_15700
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Conformable Schrödinger Equation in D-dimensional space
Rabei, Eqab. M.
Al-Masaeed, Mohamed Ghaleb
Muslih, Sami I.
Baleanu, Dumitru
Quantum Physics
In this work, we extend the time-dependent conformable Schrödinger 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 Schrödinger 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 $β=1$
title Conformable Schrödinger Equation in D-dimensional space
topic Quantum Physics
url https://arxiv.org/abs/2312.15700