Hydrogen atom in a spherical well: linear approximation

Details Hydrogen atom in a spherical well: linear approximation Hydrogen atom in a spherical well: linear approximation

1999-12-14

arxiv.org/abs/physics/9912031v2

Physics

Physics Education

Revised version to appear in European Journal of Physics

Scientific paper

10.1088/0143-0807/21/3/309

We discuss the boundary effects on a quantum system by examining the problem
of a hydrogen atom in a spherical well. By using an approximation method which
is linear in energy we calculate the boundary corrections to the ground-state
energy and wave function. We obtain the asymptotic dependence of the
ground-state energy on the radius of the well.

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