| Summary: | 碩士 === 淡江大學 === 物理研究所 === 83 === The quantum states of a hydrogen atom located near a partially
penetrable surface with defects (pits, projections, channels,
etc.) are investigated. It is assumed that beyond the surface
the potential is constant which may be positive or negative. We
derived solutions of the hydrogen Schrodinger equation. both
outside and inside the surface. Then we find the energy
eigenvalues and eigen- functions of the hydrogen atom from the
boundary conditions. Namely, that the wavefunction and its
normal gradient component are continue at the surface.
Normalizing the obtained wave- function we evaluate some
observable physical quantities, e.g. the hyperfine splitting
constant, the electric dipole moment, the nucleus magnetic
shielding, etc. Graphs of these quantities versus the distance
from the atom nucleus to the surface are given in various
cases. Curves of equal values of the electron density are also
given. It is found out that at the same distance from the
nucleus to the surface plane the hydrogen energy near the pit
is somewhat lower, and near the channel is rather lower.
|
|---|
