Hard confinement of a two-particle quantum system using the variational method-Reference-Cited by-同舟云学术

Hard confinement of a two-particle quantum system using the variational method

Published:2024-07-20 Issue:19n20 Volume:39 Page:
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

Sabbah Nataly Rafat¹^ORCID,Al-Masaeed Mohamed Ghaleb²³^ORCID,Al-Jamel Ahmed¹^ORCID

Affiliation:

1. Physics Department, Faculty of Science, Al al-Bayt University, P. O. Box 130040, Mafraq 25113, Jordan

2. Ministry of Education, Jordan

3. Ministry of Education and Higher Education, Qatar

Abstract

The variational method is used to study the hard confinement of a two-particle quantum system in two potential models, the Cornell potential and the global potential, with Dirichlet-type boundary conditions at various cut-off radii. The trial wave function is constructed as the product of the [Formula: see text] free hydrogen atom wave function or [Formula: see text] harmonic oscillator wave function times a linear cut-off function of the form [Formula: see text] to ensure hard entrapment within a sphere of radius z. The behavior of [Formula: see text], the wave function at the origin (WFO) and the mean radius [Formula: see text] are computed for different situations and compared for the two potential models.

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X2450074X

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