The relations between d-dimensional isotropic oscillator and D-dimensional like-hydrogen atom
Abstract
Being comparable in quantum systems makes it possible for spaces with varying dimensions to attribute each other using special conversions can attribute schrodinger equation with like-hydrogen atom potential in defined dimensions to a schrodinger equation with other certified dimensions with isotropic oscillator potential. Applying special transformation provides a relationship between different dimensions of two quantum systems. The result of the quantized isotropic oscillator can be generalized to like-hydrogen atom problem in different dimensions. The connection between coordinate spaces in different dimensions can follow a specific relation that by using it and applying the parametric definition in two problems, energy spectrum and like-hydrogen atom potential wave functions problem will be solved.
Keywords
Cite
@article{arxiv.1904.10830,
title = {The relations between d-dimensional isotropic oscillator and D-dimensional like-hydrogen atom},
author = {Zahra Bakhshi and Zahra Neshati},
journal= {arXiv preprint arXiv:1904.10830},
year = {2019}
}