My questions are about initial conditions in QM in experiment and in lab.
We consider many different initial wave functions, and we solve the problem on paper. Now, I have 2 questions about this in reality and lab:
first If we want to create our arbitrary initial wave function, how we do this?
about the systems like spin that the basis of Hilbert space is finite and discrete, for example by rotating Stern–Gerlach set, we can create our initial condition but what about arbitrary wave function in arbitrary system like particle in well?
second question is if someone put an arbitrary system in front of us, we can't know the initial wave function unless that we measure it and then wave function collapse and after it we can put it instead of initial condition in Schrödinger equation but this is not really initial conditions we want!so is initial conditions in QM a well-defined and practical thing in lab?