1 W:0EI VIO.Iau.cuu.3a*Problem 1.5 Consider the wave function¥ (x, t) = Ae-Alxle-iwtwhere A, 2, and w are positive real constants. (We'il see in Chapter 2 what potential(V) actually produces such a wave function.)(a) Normalize Y.(b) Determine the expectation values of x and x2.12A good mathematician can supply you with pathological counterexamples, but they do not arisein physics; for us the wave function always goes to zero at infinity.Section 1.5: Momentum15(c) Find the standard deviation of x. Sketch the graph of |4|², as a functionof x, and mark the points ((x)+o) and ((x) – o), to illustrate the sense inwhich o represents the "spread" in x. What is the probability that the particlewould be found outside this range?

The wavefunction is given as ψ=Ae-λxe-iωt (a) Normalize the wavefunction The condition for…

Answered: *Problem 1.5 Consider the wave function…

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