Test the energy-time uncertainty principle for the wave function in Problem 2.5 and the observable x, by calculating H , x , and

Test the energy-time uncertainty principle for the wave function in Problem 2.5 and the observable x, by calculating σ_H, σ_x, and d(x)/dt exactly.

Problem 2.5

A particle in the infinite square well has as its initial wave function an even mixture of the first two stationary states:

(x,0) = A[V (x) + (x)].