Last class, we found that the wave packet that we constructed from a Gaussian distribution of k's centered around k0 was,
f(x)=e−x2/4σe−ik0x
Sketch this wave packet.
What do y'all want to learn about after this week?
Fourier tells us that we can write a "pulse" by summing up sinusoidal functions:
f(x)=∫∞−∞a(k)eikxdk
If we were to compute f(x)=∫∞−∞a(k)eik(x−vt)dk where v is a known constant, what would we get?
Fourier tells us that we can write a "pulse" by summing up sinusoidal functions:
f(x)=∫∞−∞a(k)eikxdk
If we were to compute f(x)=∫∞−∞a(k)eik(x−v(k)t)dk where v(k) is function, what would we get?