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The k p Method - Electronic Properties of Semiconductors (Hardcover, 2009 ed.)
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The k p Method - Electronic Properties of Semiconductors (Hardcover, 2009 ed.)
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I ?rst heard of k.p in a course on semiconductor physics taught by
my thesis adviser William Paul at Harvard in the fall of 1956. He
presented the k.p Hamiltonian as a semiempirical theoretical tool
which had become rather useful for the interpre- tion of the
cyclotron resonance experiments, as reported by Dresselhaus, Kip
and Kittel. This perturbation technique had already been succinctly
discussed by Sho- ley in a now almost forgotten 1950 Physical
Review publication. In 1958 Harvey Brooks, who had returned to
Harvard as Dean of the Division of Engineering and Applied Physics
in which I was enrolled, gave a lecture on the capabilities of the
k.p technique to predict and 't non-parabolicities of band extrema
in semiconductors. He had just visited the General Electric Labs in
Schenectady and had discussed with Evan Kane the latter's recent
work on the non-parabolicity of band extrema in semiconductors, in
particular InSb. I was very impressed by Dean Brooks's talk as an
application of quantum mechanics to current real world problems.
During my thesis work I had performed a number of optical
measurements which were asking for theoretical interpretation,
among them the dependence of effective masses of semiconductors on
temperature and carrier concentration. Although my theoretical
ability was rather limited, with the help of Paul and Brooks I was
able to realize the capabilities of the k.p method for interpreting
my data in a simple way."
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