Chapter 2-2. Carrier properties
Mass like charge is a very basic property of electrons and holes.
The mass of electrons in a semiconductor may be different than its
mass in vacuum.
Effective mass concept
1
Effective mass
Electrons moving inside a semicon

Chapter 2-3. States and carrier distributions
So far we have concentrated on carrier properties of qualitative
nature. We also need to:
Determine the carrier distribution with respect to energy in
different bands.
Determine the quantitative information of

Chapter 2-4. Equilibrium carrier concentrations
Equilibrium electron concentration is given by:
Equilibrium hole concentration is given by:
This integral cannot be solved in closed form, but we can make
some approximations to get a closed-form solution.
1

Chapter 2-1. Semiconductor models
The subatomic particles responsible for charge transport in metallic
wires electrons
The subatomic particles responsible for charge transport in
semiconductors electrons & holes
In this chapter, we will study these topics

PHY3601 Quantum Mechanics
Nurisya Mohd Shah, Ph.D
Assignment 3
Please submit by 2nd May 2016, Monday
1. (a) Solve the stationary Schrodinger equation for the harmonic oscillator potential and find the stationary eigenstates for this system.
(b) Find the e

Selected solutions
No. 3
In this problem we make use of writing operator x and p in terms of the raising and
lowering operator
x=
Thus
r
hxi =
~
2m!
Z
r
~
(a+ + a );
2m!
p=i
a+
n
=
p
n+1
~m!
(a+
2
r
hpi = i
(x)(a+ +a ) (x)dx;
Note that
r
n+1 ;
a
n
~m!
2
=