- #1
Blitzmeister
- 3
- 0
Homework Statement
Consider a particle in an infinite square well potential that has the initial wave-function:
Ψ(x,0) = (1/√2) [Ψ_1(x) + Ψ_2(x)]
where Ψ_1(x) and Ψ_2(x) are the ground and first excited state wavefunctions. We notice that <x> oscillates in time. FIND the frequency of oscillation
Homework Equations
So,
<x> = expected value integral over 0 to L
Ψ_1(x) = √(2/L) sin(πx/L)e^(-iE/ћt)
Ψ_2(x) = √(2/L) sin(2πx/L)e^(-iE/ћt)
The Attempt at a Solution
I solved:
<x> = [(1/2)-(16/(9π^2))]L
(Not only did I do this by hand but I also checked it against mathematica so this is definitely not wrong)
Real question is, WHAT is the frequency of oscillation actually? I have NO idea what the question is asking.