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Pythagorean said:This brings another question to mind, regarding whether that information (time) is already implicitly present. In modern physics is it as easy to integrate time into an equation as it is with classical physics?
My line of thought being that if you have the Hamiltonian, you have momentum, which contains velocity, which can be separated and integrated as dx/dt to introduce a time-dependence.
I've seen the formula for the time-dependent equation, but I haven't followed the mathematical development of it. I've only really worked with the one-dimensional, time-independent schrodinger equation... and the math is still shaky for me.
Oh, sorry. I've only recently noticed your post.
I think this line of questioning is better suited for the QM forum. I don't think anyone reading this forum is interested in the nitty-gritty of QM (as you can already tell). So rather than derail this thread, you should ask that in the QM forum.
Zz.