Question: ANSWER THE QUESTION CLEARLY AND NEATLY. SHOW ALL THE STEP-BY-STEP PROCESSES. Suppose that a particle in a box is in the state (x) = (30/a5)1/2

ANSWER THE QUESTION CLEARLY AND NEATLY. SHOW ALL THE STEP-BY-STEP PROCESSES.

Suppose that a particle in a box is in the state

(x) = (30/a5)1/2 x (a-x)

Show that (x) is normalized and calculate the expectation or average energy associated with the given state

1 = x* x dx = oa (x)* (x) dx

(Hamiltonian Operator) = (-2/2m) d2/dx2

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