In equation 24, John mentioned that that actually that should be a plus sign. (Is that what you got?)
In 7, one could also express the expectation value of x^2 in the form (1/2)(b^2) [1 + (t/tau)^2] , where tau is "characteristic time scale". What is that time scale? In thinking about that, one can get a deeper insight if you reflect on the fact that hbar/E has units of time, and fool around with trying E equal to the expectation value of the kinetic energy of an electron in this mixed state.
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