The confined two-dimensional hydrogen atom in the linear variational approach
Keywords:
Hydrogen atom, quantum confinement, two dimensional systemsAbstract
In this work we analyze the problem of a two-dimensional hydrogen atom confined in a circular region of impenetrable walls. We study the size effect on the energy eigenvalues as a function of the radius of the circle $\rho_0$. We used the linear variational method with the basis set of a free particle in a circle. We compare our results with those obtained by perturbation theory and the Rayleigh-Ritz variational method reported previously.Downloads
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