Review Questions
© Leon van Dommelen
To:
5.1 The Schrödinger Equation
5
. Time Evolution
Subsections
5
.
1
The Schrödinger Equation
5
.
1
.
1
Introduction to the equation
5
.
1
.
2
Some examples
5
.
1
.
3
Energy conservation [Descriptive]
5
.
1
.
4
Stationary states [Descriptive]
5
.
1
.
5
Particle exchange [Descriptive]
5
.
1
.
6
Energy-time uncertainty relation [Descriptive]
5
.
1
.
7
Time variation of expectation values [Descriptive]
5
.
1
.
8
Newtonian motion [Descriptive]
5
.
1
.
9
The adiabatic approximation [Descriptive]
5
.
1
.
10
Heisenberg picture [Descriptive]
5
.
2
Conservation Laws and Symmetries
5
.
3
Unsteady Perturbations of Systems
5
.
3
.
1
Schrödinger equation for a two-state system
5
.
3
.
2
Spontaneous and stimulated emission
5
.
3
.
3
Effect of a single wave
5
.
3
.
3
.
1
The wave
5
.
3
.
3
.
2
The Hamiltonian coefficients
5
.
3
.
4
Forbidden transitions
5
.
3
.
5
Selection rules
5
.
3
.
6
Angular momentum conservation
5
.
3
.
7
Parity
5
.
3
.
8
Absorption of a single weak wave
5
.
3
.
9
Absorption of incoherent radiation
5
.
3
.
10
Spontaneous emission of radiation
5
.
4
Position and Linear Momentum
5
.
4
.
1
The position eigenfunction
5
.
4
.
2
The linear momentum eigenfunction
5
.
5
Wave Packets in Free Space
5
.
5
.
1
Solution of the Schrödinger equation.
5
.
5
.
2
Component wave solutions
5
.
5
.
3
Wave packets
5
.
5
.
4
Group velocity
5
.
6
Almost Classical Motion [Descriptive]
5
.
6
.
1
Motion through free space
5
.
6
.
2
Accelerated motion
5
.
6
.
3
Decelerated motion
5
.
6
.
4
The harmonic oscillator
5
.
7
WKB Theory of Nearly Classical Motion
5
.
8
Scattering
5
.
8
.
1
Partial reflection
5
.
8
.
2
Tunneling
5
.
9
Reflection and Transmission Coefficients
To:
5.1 The Schrödinger Equation
FAMU-FSU College of Engineering
Processed by LaTeX2HTML-FU
