TDSE Final

Question 1

What is the TDSE equation

Answer 1

(-ћ^2/2m) (d^2ψ/dx^2) = iћ (dψ/dt)

Question 2

Normalisation Condition

Answer 2

∫ψ^2 dx = 1

Question 3

Wave Packets Description

Answer 3

Wave packets are a superposition of many plane waves with wave numbers grouped around an average of k0

Question 4

Wave Packet Equation

Answer 4

• ψ = ∫a(k) exp(i(kx-w(k)t) dk
• a(k) is a guassian distribution

Question 5

Value of W in k and s space

Answer 5

• In k space, width is W
• In s space, width is 1/W