Hydrogen in a cavity

The system of a proton and an electron in an inert and impenetrable spherical cavity is studied by solving Schr\"{o}dinger equation with the correct boundary conditions. The differential equation of a hydrogen atom in a cavity is derived. The numerical results are obtained with the help a power...

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Published in:arXiv.org 2019-02
Main Authors: Jialun Ping, Zong, Hongshi
Format: Article
Language:English
Subjects:
Boundary conditions
Differential equations
Energy spectra
Hydrogen-based energy
Implantation
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description The system of a proton and an electron in an inert and impenetrable spherical cavity is studied by solving Schr\"{o}dinger equation with the correct boundary conditions. The differential equation of a hydrogen atom in a cavity is derived. The numerical results are obtained with the help a power and efficient few-body method, Gaussian Expansion Method. The results show that the correct implantation of the boundary condition is crucial for the energy spectrum of hydrogen in a small cavity.
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subjects Boundary conditions
Differential equations
Energy spectra
Hydrogen-based energy
Implantation
title Hydrogen in a cavity
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