Notes for Lecture 6
Electrons, Holes
In the previous lecture, we discussed the valence band and the conduction band in
a semiconductor. We also discussed how at T = 0 the valence band is full while th
Notes for Lecture 5
Valence Band, Conduction Band
5.1
Energy Band H crystal in 1D, cont.
Let us summarize what we gured out in the last lecture.
We learned that for the 1s band of a 1D H crystal, we c
Notes for Lecture 4
Molecule, Energy Band
4.1
4.1.1
Hydrogen Molecule, cont.
+
H2 overview
Two protons. One at position a and the other at position b. One electron with charge
e. When a and b are far
Notes for Lecture 3
Atoms, Molecules
3.1
Hydrogen Atom, continued
By solving
m
1 e2
v2
=
r
40 r2
(3.1)
and
mvr = n ,
n = 1, 2, 3,
(3.2)
together, we can get orbit quantization and energy quantization
Notes for Lecture 2
Miller Indices, Quantum
Mechanics
2.1
Directions
For a given crystal, there is a conventional notation for the direction.
Say, we have a basis and three (primitive translation) vec
Notes for Lecture 1
Crystal
Crystals of semiconductors, Si crystals, GaAs crystals, CdTe crystals etc., are the
basic starting point from which all miracle devices are built on. Note, however,
that a
Homework 8
Phys. 156, UCSC, S2011
Due June 2, Thursday
Problem 1 (30 points) Problem T3.12(b,e,f).
Problem 2 (30 points) Read and summarize (in a short one paragraph each) the
core qualitative physics
Homework 7
Phys. 156, UCSC, S2011
Due May. 24, Tuesday
Throughout this homework (except the last problem), assume the following, unless
stated otherwise.
n = n0 + n
pn = pn,0 + pn
Here the subscript 0
Homework 6
Phys. 156, UCSC, S2011
Due May. 12, Thursday
(with one day grace period for this one only)
Problem 1 (30 points) Consider, again, the electron distribution function, gc (E )f (E ),
and the
Homework 5
Phys. 156, UCSC, S2011
Due May. 5, Thursday.
Problem 1 (20 points) Let us calculate the density of states (DOS) for the dispersion
relation
22
k
(k ) =
2m
where k = |k | is the magnitude of
Homework 4
Phys. 156, UCSC, S2011
Due Apr. 28, Thursday.
Problem 1 (20 points) Consider a wave, whose amplitude (x, t) is given by
d g ( ) exp[i(x t)]
(x, t) =
where g ( ) is a function of the wave v
Homework 3
Phys. 156, UCSC, S2011
Due Apr. 21, Thursday.
NOTICE
Two problems at end are removed now, relative to the print-out version that was
distributed in class. Do the following 4 problems, inste
Homework 1
Phys. 156, UCSC, S2011
Due Apr. 7, Thursday.
Problem 1 (20 points) 1.5 of Pierret. For the programming part, Matlab or Python
is recommended. However, any language that you feel comfortable
Exam 1
Phys. 156, UCSC, S2011
May 5, 2011. Total of 3 pages.
You need to show important steps leading to the answer, unless instructed
otherwise. For all numerical answers, using two signicant gures i