Schrodinger equation Derivation and how to use it

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=DEgWbrMv6-k

In this video we see how the Schrodinger equation comes out very simply from the conservation of energy. • This is the second video. Click here for the first: • The Schrodinger equation made simple ... • My twitter: twitter.com/Looking_glass_u • First. • Throughout these 2 videos, I kept talking about predicting the future, and that if you know the present state, you can predict the future. Does this mean quantum mechanics is deterministic? If you don’t think so, comment on where the determinism ends and the randomness starts in this theory. • Second. • Show that, for the Schrodinger equation, this is true: That it’s the same thing to go forward in time t1 plus t2 as go forward t1 and then go forward t2. Seems obvious, but explain what philosophical consequences that might have. • Third. • I said that linearity follows from the shrodinger equation. Can you see why? Try and prove it. • Fourth. • This is for the people who’ve done Quantum mechanics before and know that in this theory time evolution is unitary- yet I just went on about linearity so much in the previous video. Show that linearity plus the assumption that time evolution maps valid states to other valid states is equivalent to saying that the evolution is unitary.

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