The discussion focuses on the matrix representation of the momentum operator, denoted as P, in quantum mechanics. The operator is defined as P = 1/(i*∏) d/du, and the wave functions involved are ψ0 and ψ1, where ψ = ψ0 + 2ψ1. The participants express confusion regarding the application of the momentum operator to the given wave functions, particularly in the absence of additional states like ψm and ψn.
PREREQUISITESStudents of quantum mechanics, physicists working with wave functions, and anyone studying the mathematical representation of quantum operators.
What would you do in the former case?stalker7d7 said:Homework Statement
Write out matrix representation of P.
Also, do P|ψ>
Homework Equations
ψ=ψ0 + 2ψ1
ψ0=(1/∏)1/4 exp(- u2/2)
ψ1=(1/∏)1/4 √2 exp(- u2/2)
P= 1/(i*∏) d/du
The Attempt at a Solution
I've no clue what to do. If I had a ψm ψn I would, but what do I do with just ψ0 ψ1?