by cragar
Tags: expectation, values
 Mentor P: 11,782 Question about expectation values. The position operator (in the position representation) is simply ##x##. So the general definition of expectation value: $$\langle A \rangle = \int {\Psi^* A_{op} \Psi dx}$$ becomes $$\langle x \rangle = \int {\Psi^* x \Psi dx}$$ Plug in your wave function and grind out the integral.
 P: 2,466 ok i understand that. I was trying to think of a way to compute that with out doing an integral. Like how you can do that for the harmonic oscillator with a+ and a - like $=$ u is the wave function and a+ is the raising operator. can I do this for a Gaussian wave packet.