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arXiv · 1904.10830

The relations between d-dimensional isotropic oscillator and D-dimensional like-hydrogen atom

Zahra Bakhshi·Zahra Neshati
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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.

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Zahra Bakhshi, Zahra Neshati. 2019-04-24. The relations between d-dimensional isotropic oscillator and D-dimensional like-hydrogen atom. https://arxiv.org/abs/1904.10830

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