Learning
Goals
Chapter 1 - The wave
function
- Understand the
relationship between the wave function and the physical state
via statistical properties of position and momentum.
- Be able to normalize
a wave function.
- Be able to relate
statistical properties of mean and variance to quantum
mechanical expectation values and uncertainties.
- Be able to
manipulate mathematically the linear operators representing
position and momentum.
- Be able to give a
mathematically precise definition of the uncertainty principle
for position and momentum.
- Be able to give a
physically precise definition of the uncertainty principle for
position and momentum.
Chapter 2 - Time-independent
Schrodinger equation
- Be able to derive
the time-independent Schrodinger equation from the Schrodinger
equation.
- Be able to explain
the physical meaning of stationary states and their role in
the solution space of the Schrodinger equation.
- Comprehend and
manipulate the stationary states for a particle in a box
(infinite square well).
- Comprehend and manipulate
the stationary states for a harmonic oscillator.
- Comprehend and
manipulate the stationary states for a particle in a square
potential well.
- Comprehend and
manipulate the stationary states for a free particle.