Chapter 2 - Quantum Theory
Pt. 2
ECE 4339
Han Q. Le (c) U.
of Houston
3. Modern quantum theory
3.1 Illustration of uncertainty principle
Let's consider a
signal Cos[2 π t]
We sample the signal from -T/2 to T/2. The Fourier transform of
the signal is:
Source code: Fourier transfrom of a finite harmonic signal
App Demo: Fourier transfrom of a finite harmonic signal
3.2 Example of a free electron
We see that a free electron behaves like a plane
wave!
where: 
Source code: WAVEFUNCTION OF A FREE ELECTRON
App Demo: WAVEFUNCTION OF A FREE ELECTRON
3.3 Compare 2 free electrons
We will compare two free electrons
Source code: WAVEFUNCTION OF 2 FREE ELECTRONS
App Demo: Wavefunctions of 2 electrons
3.4 Compare electron wave with lightwave
Source code: Comparison of electron wave vs. lightwave
App Demo: Comparison of electron wave vs. lightwave
What is the difference?
4. Illustration: Bounded electron in an infinite quantum well
Source code: Electron in an infinite quantum well
App Demo: Electron in an infinite quantum well
5. Hydrogen atom
5. 1 Spherical harmonics
5.2 Radial function
5.3 Wavefunction contour
5.3.1 n=1 ; l=0 (S state)
5.3.2 n=2 ; l=0 (S state)
5.3.3 n=2 ; l=1 (P state)
m=0
m=+ - 1
5.3.4 n=3 ; l=2 (D state)
n=4; l=3 (F state)
n=4; l=0 (S state)
