Purdue PHYS 342 L4.3: Heisenberg's Uncertainty: Fourier Series

Table of Contents:
00:09 Lecture 4.3: Fourier Series
00:31 Can we find a better wavefunction
01:15 Free Particle Wavefunctions - Review
04:10 "Improved" Free Particle Wavefunctions
05:43 A. Fourier Series (review)
06:44 Using trigonometric functions
08:52 Fourier's Theorem (1822)
11:00 Consider the derivation of the bn equation on previous slide
11:29 rewrite to make this phase  (n-m)
11:35 rewrite to make this phase  (n-m)
11:37 Untitled: Slide 11
11:45 What we have shown
12:15 Notation
16:14 EXAMPLE: a periodic function f(x)
19:24 To make it simple, pick Lp=L/2. Then…….
20:39 What it all means
21:23 The magnitude of the bn coefficients
22:10 Plotting the sum of the first few terms when Lp=L/2 and A=1

Purdue PHYS 342 provides an introduction to the physical principles underlying topics in Modern Physics. This course is intended to provide engineering undergraduate students with a firm base from which they can extend their understanding of the quantum world.