The confined two-dimensional hydrogen atom in the linear variational approach

Authors

  • N. Aquino
  • E. Castaño

Keywords:

Hydrogen atom, quantum confinement, two dimensional systems

Abstract

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.

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Published

2005-01-01

How to Cite

[1]
N. Aquino and E. Castaño, “The confined two-dimensional hydrogen atom in the linear variational approach”, Rev. Mex. Fis. E, vol. 51, no. 2 Jul-Dec, pp. 126–131, Jan. 2005.