Sorry I just realized a typo in my solution, but it doesn't affect the result:
The typo is at where I said: "Then I moved on to the right side:"
\alpha^*=6-5i
\beta=1+i
The beta should have a complex conjugate symbol (*):
\beta^*=1+i
Hey guys I'm new here and I've been using MathType for all on-screen math. For some reason PF doesn't recognize the built-in Dirac's bra-ket notation. (i.e. <\psi|) So I've included my equations and solution in the format of images, hopefully it isn't a problem.
Homework Statement
Proof...
1. All given variables and known data
Consider a particle of mass m subject to the infinite square well potential function (with L>0)
Suppose that you do not know the state function describing the system, but that you are told the expectation value of the position of the particle is...