Let Y (x, t = 0) = µ₁/√3 + ₂/√4 + 3√(5/12), where ¡ is the ith normalized stationary statesolution of the infinite square well.(a) Verify that Y itself is normalized(b) Find Y (x, t) and, using the explicit stationary state wavefunctions of the infinite square well,express the probability density at time t as a real function.th(c) If En is the energy of the n™ normalized stationary state, what are the probabilities of measuringenergy and getting the result E₁, or E2, or E3?(d) What is when written in terms of E₁ ?(e) Compute and

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Answered: Let Y (x, t = 0) = ₁/√3 + ¥₂/√4 +…

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