- #1
tanaygupta2000
- 208
- 14
- Homework Statement
- Find the expectation value of momentum operator in a normalized real-valued wavefunction
- Relevant Equations
- momentum eigenstates = exp(ikx)
I know that the eigenstates of momentum operator are given by exp(ikx)
To construct a real-valued and normalized wavefunction out of these eigenstates,
I have,
psi(x) = [exp(ikx) + exp(-ikx)]/ sqrt(2)
But my trouble is, how do I find the expectation value of momentum operator <p> using this psi(x)?
On applying momentum operator, my integral is divergent.
I think that since there are equal probabilities in psi, <p> will be 0.
But how do I show it by calculations?
Please help!