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Unformatted text preview: (10.15) Actually, I shall show below that with (10.16) we have (10.17) The algebra behind this is relatively straightforward, but I shall just assume the first two, and only do the last two in all gory details. (10.18) Thus (10.19) Let act twice, (10.20) Doing all the integrals we conclude that (10.21) Thus, finally, (10.22) This is just the initial state, which clearly has minimal uncertainty. We shall now investigate how the state evolves in time by usin a numerical simulation. What we need to do is to decompose our state of minimal uncertainty in a sum over eigenstates of the Hamiltonian which describes our system!...
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- Fall '10
- Physics, Uncertainty Principle, minimal uncertainty