Hydrogen in a cavity
Abstract
The system of a proton and an electron in an inert and impenetrable spherical cavity is studied by solving Schr\"odinger 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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