| Summary: | 碩士 === 國立交通大學 === 電子物理學系 === 83 === We consider a centered donor in a quantum well and in the the
presence of a longitudinal magnetic field. The donor atom gives
rise to a localized phonon mode which essentially has the donor
along alone involved in a harmonic oscillation. In this thesis,
we consider the effect of this localized phonon on the 1s-2p+
transition of the donor states. The donor states are calculated
within a variation approach using a Gaussian basis set
expansion. An electron-local-phonon inter- action hamiltonian
is proposed and the splitting in the 1s-2p+ transition due to
this interaction is calculated, following the method of White
and Koonce. For the case when the Ga is substituted by a Si
donor in a GaAs quantum well of width L=1 a(a=98.7), we find a
frequency splitting to 1s-2p+ tran- sition △ν=0.15 1/cm at
around B=20.67 Tesla. The splitting, or the electron-local-
phonon coupling, is expected to be enhanced in the case of
quantum dot.
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