| Summary: | 碩士 === 國立交通大學 === 電子物理學系 === 81 === Supersymmetric quantum mechanics (SUSY QM) is an elegant
methodology in physics. It describes the isospectrum of a pair
partner potential and the relationship between
theireigenfunctions. With this characteristic isospectrum one
can construct a pseudopotential of a given potential step-by-
step to remove its lower energy levels into higher stairs.
Applying this method to solid state physics, one can also drop
those lower bands to exercise our work on our interested
problems. We will follow the supersymmetric pseudopotential,
which suggested by Y.C.Lee et al. and use a square well
superlattice to check whether if such a method has its validity
in application to solid state physics. And another independent
topic puts inthis thesis. We consider the problem of a Coulomb
potential type impurity in a finite quantum line. For an one-
dimensional Coulombpotential has a singularity, playing very
much different withthat of two or three dimensional ones, has
been shown in ourntent. That reflects an unusual interesting
phenomenon foundis theis.
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